Means of Hilbert Space Operators

• Main Authors: Hiai, Fumio (Author, http://id.loc.gov/vocabulary/relators/aut), Kosaki, Hideki (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1820
• Subjects: Functional analysis.; Operator theory.; Matrix theory.; Algebra.; Functional Analysis.; Operator Theory.; Linear and Multilinear Algebras, Matrix Theory.

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 a...

Table of Contents:

• 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.