Page
%P
37 Result(s)
within
Fumio Hiai
Mathematics
-
Chapter and Conference Paper
Strong laws of large numbers for multivalued random variables
-
Article
Majorizations for generalizeds-numbers in semifinite von Neumann algebras
-
Article
McMillan type convergence for quantum Gibbs states
-
Book
-
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
-
Article
Free transportation cost inequalities via random matrix approximation
By means of random matrix approximation procedure, we re-prove Biane and Voiculescu’s free analog of Talagrand’s transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the...
-
Article
Operator log-convex functions and operator means
We study operator log-convex functions on (0, ∞), and prove that a continuous nonnegative function on (0, ∞) is operator log-convex if and only if it is operator monotone decreasing. Several equivalent conditi...
-
Book
-
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
