Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 2057-2068 |
| Number of pages | 12 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 147 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 28 Jan 2019 |
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Norms of Vector Functionals. / Anoussis, M.; Ozawa, N.; Todorov, I. G.
In: Proceedings of the American Mathematical Society, Vol. 147, No. 5, 28.01.2019, p. 2057-2068.Research output: Contribution to journal › Article
TY - JOUR
T1 - Norms of Vector Functionals
AU - Anoussis, M.
AU - Ozawa, N.
AU - Todorov, I. G.
PY - 2019/1/28
Y1 - 2019/1/28
N2 - We examine the questions of when and how the norm of a vector functional on an operator algebra can be controlled by the invariant subspace lattice of the algebra. We introduce a related operator algebraic property and show that it is satisfied by all von Neumann algebras and by all CSL algebras. We exhibit examples of operator algebras that do not satisfy the property or any scaled version of it.
AB - We examine the questions of when and how the norm of a vector functional on an operator algebra can be controlled by the invariant subspace lattice of the algebra. We introduce a related operator algebraic property and show that it is satisfied by all von Neumann algebras and by all CSL algebras. We exhibit examples of operator algebras that do not satisfy the property or any scaled version of it.
U2 - 10.1090/proc/14383
DO - 10.1090/proc/14383
M3 - Article
VL - 147
SP - 2057
EP - 2068
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 5
ER -