17 Result(s)
within
Chapter
Fumio Hiai
Linear and Multilinear Algebras, Matrix Theory
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Chapter
A Appendices
A.1 Non-symmetric means
A.2 Norm inequality for operator integrals
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Chapter
References
Abstract not available
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Chapter
2 Double integral transformations
2.1 Schur multipliers and Peller’s theorem
2.2 Extension to B(H)
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Chapter
4 Convergence of means
4.1 Main convergence result
4.2 Related convergence results
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6 Heinz-type means A α
6.1 Norm continuity in parameter
6.2 Convergence of operator Riemann sums
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Chapter
8 Certain alternating sums of operators
8.1 Preliminaries
8.2 Uniform bounds for norms
8.3 Mono...
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Chapter
1 Introduction
The present monograph is devoted to a thorough study of means for Hilbert space operators, especially comparison of (unitarily invariant) norms of operator means and their convergence properties in various asp...
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Chapter
3 Means of operators and their comparison
3.1 Symmetric homogeneous means
3.2 Integral expression and comparison of norms
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Chapter
5 A-L-G interpolation means M α
5.1 Monotonicity and related results
5.2 Characterization of |||M ∞(H,K)X<∞
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7 Binomial means B α
7.1 Majorization B α⪯M ∞
7.2 Equivalence of |||B α (H,K)X||| for
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Chapter
Fundamentals of Operators and Matrices
A linear map** is essentially a matrix if the vector space is finite-dimensional. In this book the vector space is typically a finite-dimensional complex Hilbert space.
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Chapter
Functional Calculus and Derivation
Let \(A\in \mathbb {M}_n({\mathbb C})\) A ∈ ...
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Chapter
Matrix Means and Inequalities
The study of numerical means has been a popular subject for centuries, and the inequalities
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Chapter
Some Applications
Matrices are important in many areas of both pure and applied mathematics. In particular, they play essential roles in quantum probability and quantum information.
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Chapter
Map**s and Algebras
Most of the statements and definitions in this chapter are formulated in the Hilbert space setting.
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Chapter
Matrix Monotone Functions and Convexity
Let \((a, b) \subset {\mathbb R}\) ( a , ...
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Chapter
Majorization and Singular Values
A citation from von Neumann: “The object of this note is the study of certain properties of complex matrices of \(n\) ...
