Essential Norm of Composition Operators on Banach Spaces of Hölder Functions
Joint Authors
Jiménez-Vargas, A.
Lacruz, Miguel
Villegas-Vallecillos, Moisés
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let (X,d) be a pointed compact metric space, let 0<α<1, and let φ:X→X be a base point preserving Lipschitz map.
We prove that the essential norm of the composition operator Cφ induced by the symbol φ on the spaces lip0(X,dα) and Lip0(X,dα) is given by the formula ‖Cφ‖e=limt→0 sup0 This happens in particular when X is an infinite compact subset of a finite-dimensional normed linear space.
American Psychological Association (APA)
Jiménez-Vargas, A.& Lacruz, Miguel& Villegas-Vallecillos, Moisés. 2011. Essential Norm of Composition Operators on Banach Spaces of Hölder Functions. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-483286
Modern Language Association (MLA)
Jiménez-Vargas, A.…[et al.]. Essential Norm of Composition Operators on Banach Spaces of Hölder Functions. Abstract and Applied Analysis No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-483286
American Medical Association (AMA)
Jiménez-Vargas, A.& Lacruz, Miguel& Villegas-Vallecillos, Moisés. Essential Norm of Composition Operators on Banach Spaces of Hölder Functions. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-483286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483286