Acta mathematica scientia, Series B >
THE BANACH ALGEBRAS GENERATED BY OPERATORS WITH ONE-POINT SPECTRUM
Received date: 2008-05-06
Online published: 2011-03-20
In this article, we present some results related to the structure of Banach algebras generated by operators with one-point spectrum.
Key words: Representation group; spectrum; Banach algebra; group algebra
H.Seferoglu , N.Simsek . THE BANACH ALGEBRAS GENERATED BY OPERATORS WITH ONE-POINT SPECTRUM[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 673 -680 . DOI: 10.1016/S0252-9602(11)60267-1
[1] Gelfand I. Zur theorie der charactere der abelschen topologischen gruppen. Mat Sb, 1941, 9: 49--50
[2] Gelfand I, Raikov D, Shilov G. Commutative Normed Rings.Chelsea Publ Comp, 1964
[3] Hille E, Phillips R S. Functional Analysis and Semi-Groups. Providence: Amer Math Soc, 1957
[4] Larsen R. Banach Algebras. New York: Marcel-Dekker Inc, 1973
[5] Laursen K B, Neuman M. An Introduction to the Local Spectral Theory. Oxford: Clanderon Press, 2000
[6] Lyubich Y I. Introduction to the Theory of Banach Representations Groups. Birkha\"{u}ser-Verlag: 1988
[7] Nagel R, Huang S. Spectral mapping theorems for C0-groups satisfying non-quasianalytic growth conditions. Math Nachr, 1994, 169: 207--218
[8] van Neerven J. The Asymptotic Behavior of Semigroups of Linear Operators. Birkha\"{u}ser-Verlag: 1996
[9] Reiter H. Classical Harmonic Analysis and Locally Compact Groups. Oxford, 1968
[10] Seferoglu H. Generators of C0-groups with smallest spectra. Math Nachr, 2007, 280: 924--931
/
| 〈 |
|
〉 |