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On the local spectral radius of positive operators
Author(s):
Miroslawa
Zima
Journal:
Proc. Amer. Math. Soc.
131
(2003),
845-850.
MSC (2000):
Primary 47A11, 47B65
Posted:
July 2, 2002
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Abstract:
We give some sufficient conditions for subadditivity and submultiplicativity of the local spectral radius of bounded positive linear operators.
References:
-
- 1.
- J.Danes, On local spectral radius, Cas. pest. mat. 112 (1987), 177-187. MR 88j:47004
- 2.
- A.R.Esayan, On the estimation of the spectral radius of the sum of positive semicommutative operators (in Russian), Sibirsk. Math. Zh. 7 (1966), 460-464.
- 3.
- K.H.Förster and B.Nagy, On the local spectral theory of positive operators, Operator Theory: Advances and Applications, vol. 28, Birkhäuser, Basel, 1988, pp. 71-81. MR 89g:47049
- 4.
- K.H.Förster and B.Nagy, On the local spectral radius of a nonnegative element with respect to an irreducible operator, Acta Sci. Math. 55 (1991), 155-166. MR 92j:47016
- 5.
- M.A.Krasnoselskii et al., Approximate solutions of operator equations, Noordhoff, Groningen, 1972. MR 52:6515
- 6.
- K.B.Laursen and M.M.Neumann, Introduction to local spectral theory, Lond. Math. Soc. Monographs, Oxford Univ. Press, 2000. MR 2001k:47002
- 7.
- V.Müller, Local spectral radius formula for operators in Banach spaces, Czechoslovak Math. J. 38 (1988), 726-729. MR 89g:47005
- 8.
- F.Riesz and B.Sz.-Nagy, Functional analysis, Ungar, New York, 1955. MR 17:175i
- 9.
- M.Zima, A theorem on the spectral radius of the sum of two operators and its applications, Bull. Austral. Math. Soc. 48 (1993), 427-434. MR 94j:47006
- 10.
- M.Zima, On the local spectral radius in partially ordered Banach spaces, Czechoslovak Math. J. 49 (1999), 835-841. MR 2001m:47011
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Additional Information:
Miroslawa
Zima
Affiliation:
Institute of Mathematics, University of Rzeszów, Rejtana 16 A, 35-310 Rzeszów, Poland
Email:
mzima@univ.rzeszow.pl
DOI:
10.1090/S0002-9939-02-06726-6
PII:
S 0002-9939(02)06726-6
Received by editor(s):
July 6, 2001
Received by editor(s) in revised form:
October 15, 2001
Posted:
July 2, 2002
Communicated by:
David R. Larson
Copyright of article:
Copyright
2002,
American Mathematical Society
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