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Noncontinuity of spectrum for the adjoint of an operator
Author(s):
Laura
Burlando
Journal:
Proc. Amer. Math. Soc.
128
(2000),
173-182.
MSC (1991):
Primary 47A10, 47C05
Posted:
June 17, 1999
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Abstract:
This paper deals with the connection between continuity of spectrum at an element  of the Banach algebra of all bounded linear operators on a Banach space  and at the adjoint  of  . In particular, we show that, if  is not reflexive, the spectrum function may be continuous at  and discontinuous at  .
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Additional Information:
Laura
Burlando
Affiliation:
Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy
Email:
burlando@dima.unige.it
DOI:
10.1090/S0002-9939-99-05044-3
PII:
S 0002-9939(99)05044-3
Keywords:
Continuity of spectrum,
adjoint operators in Banach spaces
Received by editor(s):
March 12, 1998
Posted:
June 17, 1999
Communicated by:
David R. Larson
Copyright of article:
Copyright
1999,
American Mathematical Society
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