|
A formula for the joint local spectral radius
Author(s):
E.
Yu.
Emel'yanov;
Z.
Ercan
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1449-1451.
MSC (2000):
Primary 47A11, 47A13, 46H05
Posted:
October 8, 2003
Retrieve article in:
PDF DVI PostScript
Abstract |
References |
Similar articles |
Additional information
Abstract:
We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space  in terms of the dual of  .
References:
-
- [1]
- J. Diestel, Sequences and series in Banach spaces, Graduate Texts in Mathematics 92, Springer-Verlag, New York (1984). MR 85i:46020
- [2]
- R. Drnovsek, On reducibility of semigroups of compact quasinilpotent operators, Proc. Amer. Math. Soc. 125 (1997), 2391-2394. MR 97m:47007
- [3]
- Z. Ercan and S. Onal, Invariant subspaces for positive operators acting on a Banach space with Markuhevich basis, Positivity. (to appear)
- [4]
- P. Rosenthal and A. Soltysiak, Formulas for the joint spectral radius of noncommuting Banach algebra elements, Proc. Amer. Math. Soc. 123 (1995), 2705-2708. MR 95k:47008
- [5]
- G.-C. Rota and W. G. Strang, A note on the joint spectral radius, Indag. Math. 22 (1960), 379-381. MR 26:5434
- [6]
- V. S. Shulman and Yu. V. Turovskii, Joint spectral radius, operator semigroups, and a problem of W. Wojtynski, J. Funct. Anal. 177 (2000), 383-441. MR 2002d:47099
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
47A11, 47A13, 46H05
Retrieve articles in all Journals with MSC
(2000):
47A11, 47A13, 46H05
Additional Information:
E.
Yu.
Emel'yanov
Affiliation:
Sobolev Institute of Mathematics, Acad. Koptyug pr. 4, 630090 Novosibirsk, Russia
Address at time of publication:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
emelanov@math.nsc.ru
Z.
Ercan
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
zercan@metu.edu.tr
DOI:
10.1090/S0002-9939-03-07199-5
PII:
S 0002-9939(03)07199-5
Keywords:
Joint local spectral radius,
joint spectral radius,
Banach algebra
Received by editor(s):
November 23, 2002
Received by editor(s) in revised form:
January 9, 2003
Posted:
October 8, 2003
Additional Notes:
The work of the first author was supported by the Scientific and Technical Research Council of Turkey
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
|
Comments: webmaster@ams.org