Ivan Todorov

Professor

  • Room 01.029 - Old Physics

    United Kingdom

Accepting PhD Students

PhD projects

- Quantum Information Theory - Operator Algebras - Abstract Harmonic Analysis

19972019
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Research Output 1997 2019

2019

Completely bounded maps and invariant subspaces

Alaghmandan, M., Todorov, I. & Turowska, L., 12 Feb 2019, In : Mathematische Zeitschrift. 19 p.

Research output: Contribution to journalArticle

Completely Bounded Maps
Bimodule
Invariant Subspace
Compact Quantum Group
Locally Compact
66 Downloads (Pure)

Norms of Vector Functionals

Anoussis, M., Ozawa, N. & Todorov, I. G., 28 Jan 2019, In : Proceedings of the American Mathematical Society. 147, 5, p. 2057-2068 12 p.

Research output: Contribution to journalArticle

Open Access
File
Operator Algebras
Algebra
Norm
Von Neumann Algebra
Mathematical operators

Operator system structures and extensions of Schur multipliers

Lin, Y-F. & Todorov, I., 21 Nov 2019, (Accepted) In : International Mathematics Research Notices.

Research output: Contribution to journalArticle

Schur multiplier
Operator
W-algebras
C*-algebra
Equality
52 Downloads (Pure)

Transference and Preservation of Uniqueness

Todorov, I. G. & Turowska, L., 17 Apr 2019, In : Israel Journal of Mathematics. 230, 1, p. 1-21

Research output: Contribution to journalArticle

Preservation
Uniqueness
Bimodule
Algebra
Operator
2018

Characterisations of the weak expectation property

Farenick, D., Kavruk, A. S., Paulsen, V. I. & Todorov, I. G., 2018, In : New York Journal of Mathematics. 24a , p. 1-29 29 p.

Research output: Contribution to journalArticle

Embedding Problem
C*-algebra
Deduce
Formulation
Operator
81 Downloads (Pure)

Complexity and capacity bounds for quantum channels

Levene, R. H., Paulsen, V. I. & Todorov, I. G., 01 Oct 2018, In : IEEE Transactions on Information Theory. 64, 10, p. 6917-6928 12 p., 8355678.

Research output: Contribution to journalArticle

Open Access
File
Channel capacity
Hilbert spaces
46 Downloads (Pure)

Herz-Schur multipliers of dynamical systems

McKee, A., Todorov, I. G. & Turowska, L., 20 Jun 2018, In : Advances in Mathematics. 331, p. 387-438 52 p.

Research output: Contribution to journalArticle

Open Access
File
Schur multiplier
Multiplier
Dynamical system
C*-algebra
Dual Group
7 Downloads (Pure)

Inductive limits in the operator system and related categories

Mawhinney, L. & Todorov, I. G., 17 Mar 2018, (Accepted) In : Dissertationes Mathematicae. 536, p. 1-57 57 p.

Research output: Contribution to journalArticle

Open Access
File
Inductive Limit
Operator
Tensor Product
Quotient
Isomorphic
1 Citation (Scopus)
125 Downloads (Pure)

Positive Herz-Schur multipliers and approximation properties of crossed products

McKee, A., Skalski, A., Todorov, I. & Turowska, L., 01 Nov 2018, In : Mathematical Proceedings of the Cambridge Philosophical Society. 165, 3, p. 511-532

Research output: Contribution to journalArticle

Open Access
File
2017
1 Citation (Scopus)
81 Downloads (Pure)

Completely bounded bimodule maps and spectral synthesis

Alaghmandan, M., Todorov, I. G. & Turowska, L., 27 Jul 2017, In : International Journal of Mathematics. 28, 10, p. 1-40

Research output: Contribution to journalArticle

Open Access
File
Spectral Synthesis
Bimodule
Locally Compact Group
Tensor Product
Multiplication
135 Downloads (Pure)

Positive extensions of Schur multipliers

Levene, R. H., Lin, Y-F. & Todorov, I. G., 01 Jul 2017, In : Journal of Operator Theory. 78, 1, p. 45-69 25 p.

Research output: Contribution to journalArticle

Open Access
File
Schur multiplier
Positive Definite Functions
Locally Compact Group
Sufficient Conditions
Operator
111 Downloads (Pure)

Reduced synthesis in harmonic analysis and compact synthesis in operator theory

Shulman, V. S., Todorov, I. G. & Turowska, L., 01 Jul 2017, In : Functional Analysis and Its Applications. 51, 3, p. 240-243 4 p.

Research output: Contribution to journalArticle

Open Access
File
Harmonic analysis
Operator Theory
Harmonic Analysis
Mathematical operators
Synthesis
140 Downloads (Pure)

Schur multipliers of Cartan pairs

Levene, R. H., Spronk, N., Todorov, I. G. & Turowska, L., 2017, In : Proceedings of the Edinburgh Mathematical Society. 60 , 2, p. 413-440 28 p.

Research output: Contribution to journalArticle

File
Schur multiplier
Tensor Product
Strictly
Isomorphic
Algebra
2016
16 Citations (Scopus)
169 Downloads (Pure)

Estimating quantum chromatic numbers

Paulsen, V. I., Severini, S., Stahlke, D., Todorov, I. G. & Winter, A., 15 Mar 2016, In : Journal of Functional Analysis. 270, 6, p. 2180-2222 43 p.

Research output: Contribution to journalArticle

Open Access
File
Chromatic number
Graph in graph theory
Fractional Chromatic number
Lower bound
Odd Cycle
3 Citations (Scopus)
120 Downloads (Pure)

Ideals of the Fourier algebra, supports and harmonic operators

Anoussis, M., Katavolos, A. & Todorov, I. G., Sep 2016, In : Mathematical Proceedings of the Cambridge Philosophical Society. 161, 2, p. 223-235 13 p.

Research output: Contribution to journalArticle

Open Access
File
Fourier Algebra
Harmonic
Positive Definite Functions
Null Space
Operator
2 Citations (Scopus)
106 Downloads (Pure)

Operator Synthesis and Tensor Products

Eleftherakis, G. K. & Todorov, I. G., Aug 2016, In : Transactions of the American Mathematical Society. 368, p. 5271-5300 30 p.

Research output: Contribution to journalArticle

Open Access
File
Tensor Product
Tensors
Bimodule
Synthesis
Operator
7 Citations (Scopus)
105 Downloads (Pure)

Private algebras in quantum information and infinite-dimensional complementarity

Crann, J., Kribs, D. W., Levene, R. H. & Todorov, I. G., Jan 2016, In : Journal of Mathematical Physics. 57, 1, 14 p., 015208.

Research output: Contribution to journalArticle

Open Access
File
Quantum Information
Complementarity
algebra
Algebra
Quantum Channel
173 Downloads (Pure)

Schur idempotents and hyperreflexivity

Eleftherakis, G. K., Levene, R. H. & Todorov, I. G., Sep 2016, In : Israel Journal of Mathematics. 215, 1, p. 317-337 21 p.

Research output: Contribution to journalArticle

File
Bimodule
Ternary
Idempotent
Boolean Lattice
Closed
2015
88 Downloads (Pure)

Interactions between Harmonic Analysis and Operator Theory

Todorov, I., 2015, In : Serdica Mathematical Journal. 41 , 1, p. 13–34

Research output: Contribution to journalArticle

Open Access
File
13 Citations (Scopus)

Quantum Chromatic Numbers via Operator Systems

Paulsen, V. I. & Todorov, I. G., Jun 2015, In : Quarterly Journal of Mathematics. 66, 2, p. 677-692 16 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Sets of multiplicity and closable multipliers on group algebras

Shulman, V. S., Todorov, I. G. & Turowska, L., 15 Mar 2015, In : Journal of Functional Analysis. 268, 6, p. 1454-1508 55 p.

Research output: Contribution to journalArticle

Group Algebra
Multiplier
Multiplicity
Operator
Compact Operator
1 Citation (Scopus)
155 Downloads (Pure)

Sets of p-multiplicity in locally compact groups

Todorov, I. G. & Turowska, L., 2015, In : Studia Mathematica. 226 , p. 75-93 19 p.

Research output: Contribution to journalArticle

Open Access
File
Locally Compact Group
Multiplicity
Second countable
P-version
Direct Product
2014
3 Citations (Scopus)
66 Downloads (Pure)

Ideals of A(G) and bimodules over maximal abelian selfadjoint algebras

Anoussis, M., Katavolos, A. & Todorov, I. G., 01 Jun 2014, In : Journal of Functional Analysis. 266, 11, p. 6473–6500

Research output: Contribution to journalArticle

Open Access
File
Bimodule
Completely Bounded Maps
Spectral Synthesis
Schur multiplier
Closed
1 Citation (Scopus)
166 Downloads (Pure)

Local operator multipliers and positivity

Steen, N. M., Todorov, I. G. & Turowska, L., 01 Jul 2014, In : Journal of Functional Analysis. 267, 1, p. 80-111

Research output: Contribution to journalArticle

File
Schur multiplier
Positivity
Multiplier
Operator
Positive Cone
13 Citations (Scopus)
143 Downloads (Pure)

Operator systems from discrete groups

Farenick, D., Kavruk, A. S., Paulsen, V. I. & Todorov, I. G., 01 Jul 2014, In : Communications in Mathematical Physics. 329, 1, p. 207-238

Research output: Contribution to journalArticle

Open Access
File
Discrete Group
Tensor Product
operators
Operator
tensors

Splittings of masa-bimodules

Papapanayides, S. & Todorov, I., 2014, Algebraic Methods in Functional Analysis: The Victor Shulman Anniversary Volume. Todorov, I. G. & Turowska, L. (eds.). Vol. 233. p. 127-134 (Operator Theory: Advances and Applications; vol. 233).

Research output: Chapter in Book/Report/Conference proceedingChapter

Tensor products of subspace lattices and rank one density

Papapanayides, S. & Todorov, I. G., Jun 2014, In : Integral Equations and Operator Theory. 79, 2, p. 175-189

Research output: Contribution to journalArticle

Tensor Product
Subspace
Operator Algebras
Projection
Product formula
2013

Compact separating maps on continuous fields of Banach spaces

Lin, Y-F. & Todorov, I. G., 01 Sep 2013, In : Linear Algebra and its Applications. 439, 5, p. 1221-1228

Research output: Contribution to journalArticle

Banach spaces
Banach space
2 Citations (Scopus)

Normalisers of operator algebras and tensor product formulas

McGarvey, M., Oliveira, L. & Todorov, I. G., 2013, In : Revista Matematica Iberoamericana. 29, 4, p. 1373-1395

Research output: Contribution to journalArticle

Product formula
Normalizer
Operator Algebras
Tensor Product
Nest Algebra
33 Citations (Scopus)

Quotients, exactness, and nuclearity in the operator system category

Kavruk, A., Paulsen, V., Todorov, I. & Tomforde, M., 2013, In : Advances in Mathematics. 235, p. 321-360 40 p.

Research output: Contribution to journalArticle

Nuclearity
Exactness
Quotient
Operator
Tensor Product
2012

Operator algebras from the Heisenberg semigroup

Anoussis, M., Katavolos, A. & Todorov, I., 2012, In : Proceedings of the Edinburgh Mathematical Society. 55 , 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Ranges of bimodule projections and reflexivity

Todorov, I., 01 Jun 2012, In : Journal of Functional Analysis. 262, 11, p. 4891-4915 25 p.

Research output: Contribution to journalArticle

Reflexivity
Bimodule
Projection
Range of data
Operator
2011

Angles in C*-algebras

Anoussis, M., Katavolos, A. & Todorov, I., 2011, In : Houston Journal of Mathematics. 37, 2, p. 501-517 17 p.

Research output: Contribution to journalArticle

C*-algebra
Angle
Algebra
Compact Operator
Subalgebra
6 Citations (Scopus)

Closable multipliers

Shulman, V. S., Todorov, I. & Turowska, L., 2011, In : Integral Equations and Operator Theory. 69, p. 29-62 34 p.

Research output: Contribution to journalArticle

Multiplier
Fourier Algebra
Hilbert-Schmidt Operator
Schur multiplier
Norm
39 Citations (Scopus)
1 Downloads (Pure)

Operator system structures on ordered spaces

Paulsen, V. I., Todorov, I. & Tomforde, M., Jan 2011, In : Proceedings of the London Mathematical Society. 102 , 1, p. 25-49 25 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

s-number of elementary operators on C*-algebras

Todorov, I., Anoussis, M. & Felouzis, V., 2011, In : Journal of Operator Theory. 66, 2, p. 235-260 26 p.

Research output: Contribution to journalArticle

38 Citations (Scopus)

Tensor products of operator systems

Kavruk, A., Paulsen, V. I., Todorov, I. & Tomforde, M., 15 Jul 2011, In : Journal of Functional Analysis. 261, 2, p. 267-299 33 p.

Research output: Contribution to journalArticle

Tensor Product
Operator
C*-algebra
Operator Space
Nuclearity
2010
1 Citation (Scopus)

Convergence of bimodules over maximal abelian selfadjoint algebras

Habgood, J. L. & Todorov, I., Mar 2010, In : Journal of Operator Theory. 63, 2, p. 310-315 6 p.

Research output: Contribution to journalArticle

Bimodule
Algebra
Convex Hull

Multipliers of multidimensional Fourier algebras

Todorov, I. & Turowska, L., 2010, In : Operators and Matrices. 4, 4, p. 459-484 26 p.

Research output: Contribution to journalArticle

Fourier Algebra
Multiplier
Isometric Embedding
Haar Measure
Discrete Group

Operator hyperreflexivity of subspace lattices

Bracic, J., Garlicka-Klis, K., Muller, V. & Todorov, I., Nov 2010, In : Integral Equations and Operator Theory. 68, 3, p. 383-390 8 p.

Research output: Contribution to journalArticle

Subspace
Reflexivity
Operator
Analogue

Schur and operator multipliers

Todorov, I. & Turowska, L., 2010, In : Banach Centre Publications. 91 , p. 385-410 26 p.

Research output: Contribution to journalArticle

2009
17 Citations (Scopus)

Multidimensional operator multipliers

Juschenko, K., Todorov, I. & Turowska, L., Sep 2009, In : Transactions of the American Mathematical Society. 361, 9, p. 4683-4720 38 p.

Research output: Contribution to journalArticle

Algebra
Multiplier
Tensors
C*-algebra
Schur multiplier

Normalisers, nest algebras and tensor products

McGarvey, M. & Todorov, I., 2009, In : Contemporary Mathematics. 503, p. 141-149 9 p.

Research output: Contribution to journalArticle

Nest Algebra
Normalizer
Tensor Product
Semigroup
Algebra
2008

On the continuity of the support of masa-bimodules

Habgood, J. L. & Todorov, I., 2008, In : Functional Analysis and Its Applications. 42, p. 242-244 3 p.

Research output: Contribution to journalArticle

Bimodule
2006
4 Citations (Scopus)

Synthetic properties of ternary masa-bimodules

Todorov, I., 2006, In : Houston Journal of Mathematics. 32, 2, p. 505-519 15 p.

Research output: Contribution to journalArticle

2005
5 Citations (Scopus)

Compact operators on Hilbert modules

Anoussis, M. & Todorov, I., Jan 2005, In : Proceedings of the American Mathematical Society. 133, 1, p. 257-261 5 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

On subspace lattices I. Closedness type properties and tensor products

Shulman, V. S. & Todorov, I., Aug 2005, In : Integral Equations and Operator Theory. 52, 4, p. 561-579 19 p.

Research output: Contribution to journalArticle

Tensor Product
Subspace
Reflexivity
Von Neumann Algebra
Injective
2004

A characterisation of the normalisers of C*-algebras

Todorov, I., Sep 2004, In : Glasgow Mathematical Journal. 46, 3, p. 489-498 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Normalisers of CSL algebras

Todorov, I., 2004, In : Indiana University Mathematics Journal. 53, 4, p. 1013-1036 24 p.

Research output: Contribution to journalArticle