Results 81 to 90 of about 461,348 (110)

The Hoffman–Rossi Theorem for Operator Algebras

Integral equations and operator theory, 2019
We study possible noncommutative (operator algebra) variants of the classical Hoffman–Rossi theorem from the theory of function algebras. In particular we give a condition on the range of a contractive weak* continuous homomorphism defined on an operator
D. Blecher, Luis C. Flores, Beate Zimmer
semanticscholar   +2 more sources

Pietsch correspondence for symmetric functionals on Calkin operator spaces associated with semifinite von Neumann algebras

Journal of operator theory, 2020
In this paper we extend the Pietsch correspondence for ideals of compact operators and traces on them to the semifinite setting. We establish a correspondence between a shift monotone space E(Z) of sequences and a Calkin space E(M,τ) of τ-measurable ...
G. Levitina, A. Usachev
semanticscholar   +1 more source

Linear disjointness preservers of operator algebras and related structures

, 2018
We survey some recent studies of linear zero product or orthogonality preservers between C */ W *-algebras, their dual or predual spaces,and holomorphic disjointness preservers of C *-algebras. Such maps are expected to provide algebra or linear Jordan (*
Jung-Hui Liu, Chun-Yen Chou, Ching-Jou Liao, N. Wong   +3 more
semanticscholar   +1 more source

Multiplicative ∗-lie triple higher derivations of standard operator algebras

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2018
Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. In this paper it is shown that if is closed under the adjoint operation, then every multiplicative ∗-Lie triple derivation is a linear ...
M. Ashraf, B. Wani, F. Wei
semanticscholar   +1 more source

Commutative Algebras Generated by Toeplitz Operators on the Unit Sphere

Integral equations and operator theory, 2020
M. Loaiza, N. Vasilevski
semanticscholar   +2 more sources

A framework for rank identities - with a view towards operator algebras

Journal of operator theory, 2018
In this article, we start a program to systematically characterize rank identities with a view towards applications to operator algebras. We initiate the study of so called ranked rings (unital rings with a ``rank system''), the main examples of interest
Soumyashant Nayak
semanticscholar   +1 more source

On Certain Order Properties of Non Kubo–Ando Means in Operator Algebras

Integral equations and operator theory, 2022
L. Molnár
semanticscholar   +1 more source

Five Hilbert Space Problems in Operator Algebras

Complex Analysis and Operator Theory, 2022
L. Marcoux
semanticscholar   +1 more source

On the Order Determining Property of the Norm of a Kubo–Ando Mean in Operator Algebras

Integral equations and operator theory, 2021
L. Molnár
semanticscholar   +1 more source

Nonlinear *-Lie derivations of standard operator algebras

, 2016
Let ℋ be an infinite dimensional complex Hilbert space and 𝒜 be a standard operator algebra on ℋ which is closed under the adjoint operation. We prove that every nonlinear *-Lie derivation δ of 𝒜 is automatically linear.
W. Jing
semanticscholar   +1 more source