By Fumio Hiai
The monograph is dedicated to a scientific examine of technique of Hilbert area operators via a unified process in keeping with the speculation of double critical changes and Peller's characterization of Schur multipliers. common houses on technique of operators comparable to comparability effects, norm estimates and convergence standards are confirmed. After some basic concept, certain investigations are enthusiastic about 3 one-parameter households of A-L-G (arithmetic-logarithmic-geometric) interpolation skill, Heinz-type capability and binomial skill. specifically, norm continuity within the parameter is tested for such ability. a few useful technical results are gathered as appendices.
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