Means of Hilbert Space Operators
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Beschreibung
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.
Autor*in
Fumio Hiai
Themen in »Means of Hilbert Space Operators«
Hilbert space Hilbert space operator Interpolation Schur multiplier double integral transformation integral transform mean of operators unitarily invariant norm matrix theory