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The group reduction for bounded cosine functions on UMD spaces

The group reduction for bounded cosine functions on UMD spaces It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(−A)1/2 generates a bounded C 0-group. The proof uses a transference principle for cosine functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

The group reduction for bounded cosine functions on UMD spaces

Mathematische Zeitschrift , Volume 262 (2) – May 30, 2008

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2008 by The Author(s)
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-008-0373-y
Publisher site
See Article on Publisher Site

Abstract

It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(−A)1/2 generates a bounded C 0-group. The proof uses a transference principle for cosine functions.

Journal

Mathematische ZeitschriftSpringer Journals

Published: May 30, 2008

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