Multiparameter spectral theory and Taylor's joint spectrum in Hilbert space
1988 ◽
Vol 31
(1)
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pp. 127-144
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Keyword(s):
Let n≧1 be an integer and suppose that for each i= 1,…,n, we have a Hilbert space Hi and a set of bounded linear operators Ti, Vij:Hi→Hi, j=1,…,n. We define the system of operatorswhere λ=(λ1,…,λn)∈ℂn. Coupled systems of the form (1.1) are called multiparameter systems and the spectral theory of such systems has been studied in many recent papers. Most of the literature on multiparameter theory deals with the case where the operators Ti and Vij are self-adjoint (see [14]). The non self-adjoint case, which has received relatively little attention, is discussed in [12] and [13].
Keyword(s):
1988 ◽
Vol 31
(1)
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pp. 99-105
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1977 ◽
Vol 29
(5)
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pp. 1010-1030
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1982 ◽
Vol 23
(1)
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pp. 83-84
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Keyword(s):
1995 ◽
Vol 47
(4)
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pp. 744-785
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1987 ◽
Vol 39
(4)
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pp. 880-892
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1969 ◽
Vol 16
(3)
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pp. 227-232
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Keyword(s):
1986 ◽
Vol 29
(1)
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pp. 15-21
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