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Generalized backward shifts on Banach spaces C(X,E)

✍ Scribed by M. Rajagopalan; Themistocles M. Rassias; K. Sundaresan

Publisher: Elsevier Science
Year: 2000
Tongue: French
Weight: 72 KB
Volume: 124
Category: Article
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(00)01066-6

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✦ Synopsis

The problem of existence of (generalized) backward shifts on Banach spaces C(X, E) of continuous functions from a compact Hausdorff space X into a separable Hilbert space E has been raised at a conference in Nashville, Tennessee in 1996. Here we solve the problem completely in the more general setting when E is an arbitrary Banach space with E * strictly convex.

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