Generalized Kato linear relations
Keyword(s):
For a Banach space the notions of generalized Kato linear relation and the corresponding spectrum are introduced and studied. We show that the symmetric difference between the generalized Kato spectrum and the Goldberg spectrum of multivalued linear operators in Banach spaces is at most countable. The obtained results are used to describe the generalized Kato spectrum of the inverse of the left shift operator regarded as a linear relation.
2006 ◽
Vol 49
(1)
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pp. 39-52
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2016 ◽
Vol 160
(3)
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pp. 413-421
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1975 ◽
Vol 12
(1)
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pp. 23-25
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2011 ◽
Vol 53
(3)
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pp. 443-449
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2002 ◽
Vol 31
(7)
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pp. 421-442
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1981 ◽
Vol 89
(1)
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pp. 129-133
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1994 ◽
Vol 17
(1)
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pp. 27-30