27 Result(s)
within
Chapter
Fumio Hiai
Mathematics
-
Chapter and Conference Paper
Strong laws of large numbers for multivalued random variables
-
Chapter
A Appendices
A.1 Non-symmetric means
A.2 Norm inequality for operator integrals
- ...
-
Chapter
References
Abstract not available
-
Chapter
2 Double integral transformations
2.1 Schur multipliers and Peller’s theorem
2.2 Extension to B(H)
- ...
-
Chapter
4 Convergence of means
4.1 Main convergence result
4.2 Related convergence results
-
Chapter
6 Heinz-type means A α
6.1 Norm continuity in parameter
6.2 Convergence of operator Riemann sums
-
Chapter
8 Certain alternating sums of operators
8.1 Preliminaries
8.2 Uniform bounds for norms
8.3 Mono...
-
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...
-
Chapter
3 Means of operators and their comparison
3.1 Symmetric homogeneous means
3.2 Integral expression and comparison of norms
-
Chapter
5 A-L-G interpolation means M α
5.1 Monotonicity and related results
5.2 Characterization of |||M ∞(H,K)X<∞
-
Chapter
7 Binomial means B α
7.1 Majorization B α⪯M ∞
7.2 Equivalence of |||B α (H,K)X||| for
-
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.
-
Chapter
Functional Calculus and Derivation
Let \(A\in \mathbb {M}_n({\mathbb C})\) A ∈ ...
-
Chapter
Matrix Means and Inequalities
The study of numerical means has been a popular subject for centuries, and the inequalities
-
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.
-
Chapter
Map**s and Algebras
Most of the statements and definitions in this chapter are formulated in the Hilbert space setting.
-
Chapter
Matrix Monotone Functions and Convexity
Let \((a, b) \subset {\mathbb R}\) ( a , ...
-
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 \(n\) ...
-
Chapter
Matrix Limit Theorems of Kato Type Related to Positive Linear Maps and Operator Means
We obtain limit theorems for \(\Phi (A^p)^{1/p}\) Φ ( A p ) 1 / p and \((A^p\sigma B)^{1/p}\) ( A p σ B ) 1 / p as \(p\rightarrow \infty \) p → ∞ for positive matrices A, B, where
-
Chapter
Maximal f-Divergences
Let M be a von Neumann algebra with its standard form ( M , ℋ , ...
