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. Aftersome 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 resultsare collected as appendices.

Means of Hilbert Space Operators.

Means of Hilbert Space Operators. Fumio Hiai Graduate School of Information Sciences Tohoku University Aoba-ku, Sendai 980-8579 Japan e-mail: hiai.

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Book Overview General properties on means of operators such as comparison results, norm estimates an.

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. Lecture Notes in Mathematics, Springer, 2003. Arithmetic–geometric mean and related inequalities for operators. Journal of Functional Analysis 156 (2), 429-451, 1998. Means for matrices and comparison of their norms.

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Download books for free. 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

Download books for free. 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. After some general theory, special investigations are focused on three one-parameter families of A-L-G (ic-geometric) interpolation means, Heinz-type means and binomial means

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Start by marking Means Of Hilbert Space Operators (Lecture Notes In Mathematics) as Want to Read: Want to Read savin. ant to Read. After some general theory, special inve 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.

In book: Means of Hilbert Space Operators, p. -6. Cite this publication. The present monograph is devoted to a thorough study of means for Hilbert space operators, especially comparison of (unitarily invariant) norms of operator means and their convergence properties in various aspects. Do you want to read the rest of this chapter? Request full-text.

Double integral transformations. Means of operators and their comparison.