Norms of Vector Functionals

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

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)2057-2068
Number of pages12
JournalProceedings of the American Mathematical Society
Volume147
Issue number5
DOIs
Publication statusPublished - 28 Jan 2019

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