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A Panorama of Modern Operator Theory and Related TopicsAn Estimate for the Splitting of Holomorphic Cocycles. One Variable

A Panorama of Modern Operator Theory and Related Topics: An Estimate for the Splitting of... [It is well known that every holomorphic cocycle over a domain in the complex plane and with values in the group of invertible elements of a Banach algebra, which is sufficiently close to the unit cocycle, splits holomorphically. We prove this result with certain uniform estimates.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsAn Estimate for the Splitting of Holomorphic Cocycles. One Variable

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid

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Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
465 –494
DOI
10.1007/978-3-0348-0221-5_21
Publisher site
See Chapter on Publisher Site

Abstract

[It is well known that every holomorphic cocycle over a domain in the complex plane and with values in the group of invertible elements of a Banach algebra, which is sufficiently close to the unit cocycle, splits holomorphically. We prove this result with certain uniform estimates.]

Published: Jan 3, 2012

Keywords: Holomorphic cocycle; splitting of cocycles; uniform estimates

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