Pinchings and positive linear maps
Copyright policy )Pinchings and positive linear maps
We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the algebra of operators on a Hilbert space. We also get a few results for sums in a unitary orbit.
- University of Franche-Comté France
- Kyungpook National University Korea (Republic of)
General theory of von Neumann algebras, Pinching, Mathematics - Operator Algebras, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 530, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Numerical range, numerical radius, FOS: Mathematics, Dilations, extensions, compressions of linear operators, unitary orbit, essential numerical range, Operator Algebras (math.OA), positive linear maps, conditional expectation onto a masa
General theory of von Neumann algebras, Pinching, Mathematics - Operator Algebras, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 530, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Numerical range, numerical radius, FOS: Mathematics, Dilations, extensions, compressions of linear operators, unitary orbit, essential numerical range, Operator Algebras (math.OA), positive linear maps, conditional expectation onto a masa
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