Gateaux derivative of C⁎ norm
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In this article, the Gateaux derivative of the C ⁎ -algebra norm is characterized under the assumption that dist(A, K (H, K, K ) ) is a subspace.About:
This article is published in Linear Algebra and its Applications.The article was published on 2021-11-15 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Gâteaux derivative.read more
Citations
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Journal ArticleDOI
Subdifferential set of an operator
TL;DR: In this paper , the subdifferential set of an operator is studied and the relation between the sub-differential sets and its value at a point where the operator attains its norm is analyzed.
Journal ArticleDOI
Subdifferential set of an operator
TL;DR: In this paper , the subdifferential set of an operator is studied and the relation between the sub-differential sets and its value at a point where the operator attains its norm is analyzed.
Journal ArticleDOI
A distance formula for tuples of operators
Priyanka Grover,Sushil Singla +1 more
TL;DR: In this paper , the maximal joint numerical range of a tuple of doubly commuting matrices has been shown to hold for Toeplitz operators as well as for tuples of normal operators.
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From norm derivatives to orthogonalities in Hilbert<i>C</i>*-modules
TL;DR: In this paper , the norm derivative for nonzero elements x and y of a Hilbert C∗-module over a C ∗-algebra A and S(A) be the set of states on A is computed.
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Computing subdifferential limits of operators on Banach spaces
TL;DR: In this paper , it was shown that the operator subdifferential limit is related to the corresponding subdifferentially limit of the vectors in the range space, when A ∗ ∗ {A^{\ast\ast}} attains its norm.
References
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Book
Fundamentals of Convex Analysis
TL;DR: In this paper, the authors define and define Convex functions, Sublinear Functions and Sublinearity and Support Functions of a Nonempty Set Correspondence between ConveX Sets and SubLinear Functions, and Subdifferentials of Finite Functions.
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Operator Algebras: Theory of C*-Algebras and von Neumann Algebras
TL;DR: In this article, the authors present a model for operators on Hilbert Space, including C*-Algebras, Von Neumann Algebra, and K-Theory and Finiteness.
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M-Ideals in Banach Spaces and Banach Algebras
TL;DR: In this article, the basic theory of M-ideals and its properties are discussed. And the properties of bounded operators in spaces of bounded M-idals have been studied.
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Orthogonality and linear functionals in normed linear spaces
TL;DR: The notion of orthogonality was introduced in this paper, which is a generalization of the notion of homogeneous homogeneous elements to normed linear spaces, and has been studied extensively in the literature.
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Characterization of the subdifferential of some matrix norms
TL;DR: In this article, a characterization of the subdifferential of matrix norms from two classes, orthogonally invariant norms and operator (or subordinate) norms, is given for some special cases.