A spectral mapping theorem for the Weyl spectrum
1996 ◽
Vol 38
(1)
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pp. 61-64
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Keyword(s):
Suppose H is a Hilbert space and write ℒ(H) for the set of all bounded linear operators on H. If T ∈ ℒ(H) we write σ(T) for the spectrum of T; π0(T) for the set of eigenvalues of T; and π00(T) for the isolated points of σ(T) that are eigenvalues of finite multiplicity. If K is a subset of C, we write iso K for the set of isolated points of K. An operator T ∈ ℒ(H) is said to be Fredholm if both T−1(0) and T(H)⊥ are finite dimensional. The index of a Fredholm operator T, denoted by index(T), is defined by
2004 ◽
Vol 76
(2)
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pp. 291-302
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1982 ◽
Vol 23
(1)
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pp. 83-84
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Keyword(s):
1988 ◽
Vol 31
(1)
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pp. 127-144
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Keyword(s):
1986 ◽
Vol 29
(1)
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pp. 15-21
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2015 ◽
Vol 17
(05)
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pp. 1450042
Keyword(s):
1988 ◽
Vol 31
(1)
◽
pp. 99-105
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