The group reduction for bounded cosine functions on UMD spaces

DOI10.1007/s00209-008-0373-yzbMath1172.47031arXiv0709.2891OpenAlexW2117226331MaRDI QIDQ1024199

Markus Haase

Publication date: 16 June 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2891

zbMATH Keywords

cosine function\(C_0\)-semigroupfunctional calculustransference principleUMD spaceFattorini's theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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Cites Work

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• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Vector-valued cosine transforms
• Generalized analyticity in UMD spaces
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Functional calculus for groups and applications to evolution equations
• Ordinary differential equations in linear topological space. II
• On operator cosine functions in UMD spaces