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C (K) -representations and R -boundedness

2007; Wiley; Volume: 76; Issue: 2 Linguagem: Inglês

10.1112/jlms/jdm072

1469-7750

B. de Pagter, Werner J. Ricker,

Mathematical Analysis and Transform Methods

Journal of the London Mathematical SocietyVolume 76, Issue 2 p. 498-512 Articles C (K)-representations and R-boundedness B. de Pagter, Corresponding Author B. de Pagter [email protected] Delft Institute of Applied Mathematics, Faculty EEMCS, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands[email protected]Search for more papers by this authorW. J. Ricker, W. J. Ricker Math. -Geogr.Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85072 Eichstätt, Germany, [email protected]Search for more papers by this author B. de Pagter, Corresponding Author B. de Pagter [email protected] Delft Institute of Applied Mathematics, Faculty EEMCS, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands[email protected]Search for more papers by this authorW. J. Ricker, W. J. Ricker Math. -Geogr.Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85072 Eichstätt, Germany, [email protected]Search for more papers by this author First published: 20 October 2007 https://doi.org/10.1112/jlms/jdm072Citations: 7 2000 Mathematics Subject Classification 46G10, 47A67 (primary); 47B40 (secondary). AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract R-bounded representations Φ:C(K) → ℒ(X), with K a compact Hausdorff space and X a Banach space, are characterized via integration against R-bounded spectral measures in X. The techniques are based on a careful analysis of certain cyclic spaces associated with Φ. Citing Literature Volume76, Issue2October 2007Pages 498-512 RelatedInformation