Document Zbl 0455.47013

Analytic functions of a proper contraction. (English) Zbl 0455.47013

Math. Z. 160, 275-290 (1978).

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MSC:

47A60	Functional calculus for linear operators
47A25	Spectral sets of linear operators
47A30	Norms (inequalities, more than one norm, etc.) of linear operators
30C99	Geometric function theory

Keywords:

proper contraction; Riesz-Dunford functional calculus; von Neumann’s inequality; Schwarz’ lemma; Pick’s theorem; Vitali’s convergence theorem

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Full Text: DOI EuDML

References:

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[16]	Riesz, F., Sz.-Nagy, B.: Functional analysis. New York: Ungar 1960 · Zbl 0070.10902
[17]	Rogosinski, W.: Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen. Math. Z.35, 93-121 (1932) · Zbl 0003.39303 · doi:10.1007/BF01186552
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