Strictly cyclic functionals, reflexivity, and hereditary reflexivity of operator algebras (Q437550)
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scientific article; zbMATH DE number 6058112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strictly cyclic functionals, reflexivity, and hereditary reflexivity of operator algebras |
scientific article; zbMATH DE number 6058112 |
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Strictly cyclic functionals, reflexivity, and hereditary reflexivity of operator algebras (English)
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18 July 2012
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The authors show that a semisimple abelian subalgebra of \(B(X)\) (the Banach algebra of all bounded linear operators on \(X\)) with a strictly cyclic functional \(f_{0}\) is reflexive and hereditarily reflexive when \(X\) is a reflexive Banach space.
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reflexivity
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cyclic functionals
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operator algebras
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