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 |

SUMMARY

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

CONTENT

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

Mathematics
Matrix theory
Algebra
Functional analysis
Operator theory
Mathematics
Functional Analysis
Operator Theory
Linear and Multilinear Algebras Matrix Theory