𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Banach manifolds and the Gelfand representation theorem

✍ Scribed by S.T.M. Ackermans


Publisher
Elsevier Science
Year
1978
Weight
427 KB
Volume
81
Category
Article
ISSN
1385-7258

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Factorization in a Banach Algebra and th
✍ M. C. CΓ’mara πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 757 KB

The Gelfand transform is used to reduce the Wiener-Hopf factorization of a class of n x n matrix-valued functions to that of a scalar function. The complete factorization is obtained, including the partial indices.

On a Refinement of the Gelfand-Raikov Th
✍ ZoltΓ‘n SasvΓ‘ri πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 121 KB

Abetrect. I n the present note we give a simple and short proof of the following refinement of the GELFAND-RAIKOV theorem due to M. E. WALTER [2]: Given a locally compact group G and two elements xl, z g E G, neither of which is the identity e of G, then there exists a continuous, imedocible, unitar

Unitary Kloosterman Sums and the Gelfand
✍ Charles W. Curtis; Ken-ichi Shinoda πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 554 KB

In this article, we obtain relations between two types of Kloosterman sums and corresponding ones for finite field extensions, using L-series and Euler product expansions. The methods used were first applied by A. Weil in his proof of the Davenport-Hasse relation for Gauss sums ([8, Chap. 11]), and

The Hahn-Banach theorem: the life and ti
✍ Lawrence Narici; Edward Beckenstein πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 765 KB

Without the Hahn-Banach theorem, functional analysis would he ve.,aj different from the strncture we know today. Among other things, it has proved to be a very appropriate form of the Axiom of Choice for the analyst. (It is not equivalent to the Axiom of Choice, incidentally; it follows from the ult