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On the Generalized Resolvent in Banach Spaces

โœ Scribed by M. Mbekhta


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
481 KB
Volume
189
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


Generalized Backward Shifts on Banach Sp
โœ Themistocles M. Rassias; K. Sundaresan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

This paper is in part a brief survey of backward shifts. However, we present several new results on backward and forward shifts which have not appeared so far. These results concern isomorphism invariance of backward and forward shifts, and the duality between these properties.

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## Abstract Let __X__ be a real Banach space, __ฯ‰__ : [0, +โˆž) โ†’ โ„ be an increasing continuous function such that __ฯ‰__(0) = 0 and __ฯ‰__(__t__ + __s__) โ‰ค __ฯ‰__(__t__) + __ฯ‰__(__s__) for all __t__, __s__ โˆˆ [0, +โˆž). According to the infinite dimensional analog of the Osgood theorem if โˆซ^1^~0~ (__ฯ‰__(_

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โœ C.-S. Lin ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

In this article we shall introduce and investigate a notion of generalized 5 5 5 5 5 5 Daugavet equation I q S q T s 1 q S q T for operators S and T on a uniformly convex Banach space into itself, where I denotes the identity operator. This extends the well-known Daugavet equation 5 5 5 5 IqT s1q T