On a lemma of Berezin

DOI10.1134/S0001434610050147zbMath1273.47033OpenAlexW2073177884WikidataQ124855679 ScholiaQ124855679MaRDI QIDQ368217

Airat M. Bikchentaev

Publication date: 18 September 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610050147

zbMATH Keywords

transformertrace-class operatorHilbert spaceself-adjoint operatoridealunitarily invariant normKrein trace formula

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Ideals and subalgebras (46H10)

Related Items (11)

Essentially invertible measurable operators affiliated to a semifinite von Neumann algebra and commutators ⋮ On operator monotone and operator convex functions ⋮ When weak and local measure convergence implies norm convergence ⋮ On Hermitian operators \(X\) and \(Y\) meeting the condition \(-Y\leq X\leq Y\) ⋮ Commutators in \(C^\ast\)-algebras and traces ⋮ Additivity properties of operator ranges ⋮ On sets of measurable operators convex and closed in topology of convergence in measure ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Automatic continuity of \(M\)-norms on \(C^{*}\)-algebras ⋮ On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures ⋮ Invertibility of the operators on Hilbert spaces and ideals in \(C^*\)-algebras

Cites Work

• Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous
• Means of Hilbert space operators
• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
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