Norms of Vector Functionals

M. Anoussis; N. Ozawa; I. G. Todorov

doi:10.1090/proc/14383

Norms of Vector Functionals

M. Anoussis, N. Ozawa, I. G. Todorov

School of Mathematics and Physics

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Abstract

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.

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	https://doi.org/10.1090/proc/14383
Publication status	Published - 28 Jan 2019

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Norms of vector functionals
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