Author	Hiai, Fumio. author
Title	Means of Hilbert Space Operators [electronic resource] / by Fumio Hiai, Hideki Kosaki
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 2003
Connect to	http://dx.doi.org/10.1007/b13213
Descript	VIII, 156 p. online resource

The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices

Introduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators -- Appendices -- References -- Index

1. Mathematics
2. Matrix theory
3. Algebra
4. Functional analysis
5. Operator theory
6. Mathematics
7. Functional Analysis
8. Operator Theory
9. Linear and Multilinear Algebras
10. Matrix Theory