Norms of Vector Functionals

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

Research output: Contribution to journalArticle

130 Downloads (Pure)


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
Issue number5
Publication statusPublished - 28 Jan 2019

Fingerprint Dive into the research topics of 'Norms of Vector Functionals'. Together they form a unique fingerprint.

Cite this