Means of Hilbert space operators

Author(s)

• 日合, 文雄 ヒアイ, フミオ
• 幸崎, 秀樹 コウサキ, ヒデキ

Bibliographic Information

Means of Hilbert space operators

Fumio Hiai, Hideki Kosaki

（Lecture notes in mathematics, 1820）

Springer, c2003

Note

Bibliography: p. [141]-144

Includes index

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BA63413508
• ISBN:
  • 3540406808
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: viii, 148 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00146586