Banach-space operators acting on semicircular elements induced by orthogonal projections

DOI10.1007/s11785-019-00951-wzbMath1459.46053OpenAlexW2968953010WikidataQ127374269 ScholiaQ127374269MaRDI QIDQ2279044

Ilwoo Cho

Publication date: 12 December 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00951-w

zbMATH Keywords

projectionsfree probabilitysemicircular elementsweighted-semicircular elementsinteger-shift operatorsinteger-shifts

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Representations of (nonselfadjoint) operator algebras (47L55) Automorphisms of selfadjoint operator algebras (46L40) Operator algebras with symbol structure (47L15) Operators on Banach spaces (47B01)

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Multi Variable Semicircular Processes From ∗-Homomorphisms and Operators ⋮ Free probability on the limit \(C^\ast\)-algebra induced by a chain of graphs ⋮ On Semicircular Elements Induced by Connected Finite Graphs ⋮ Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view ⋮ The semicircular law of free probability as noncommutative multivariable operator theory

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