By Fumio Hiai
The monograph is dedicated to a scientific learn of technique of Hilbert house operators through a unified approach in accordance with the idea of double indispensable differences and Peller's characterization of Schur multipliers. normal houses on technique of operators comparable to comparability effects, norm estimates and convergence standards are confirmed. After some common concept, distinct investigations are inquisitive about 3 one-parameter households of A-L-G (arithmetic-logarithmic-geometric) interpolation skill, Heinz-type skill and binomial capacity. specifically, norm continuity within the parameter is tested for such ability. a few precious technical results are accumulated as appendices.
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