The spectral theorem for well-bounded operators
1993 ◽
Vol 54
(3)
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pp. 334-351
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Keyword(s):
Type B
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AbstractWell-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact interval. Depending on the weak compactness of this functional calculus, one obtains one of two types of spectral theorem for these operators. A method is given which enables one to obtain both spectral theorems by simply changing the topology used. Even for the case of well-bounded operators of type (B), the proof given is more elementary than that previously in the literature.
1972 ◽
Vol 18
(1)
◽
pp. 35-48
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1984 ◽
Vol s2-30
(2)
◽
pp. 305-321
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2018 ◽
Vol 13
(9)
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1969 ◽
Vol 36
(1)
◽
pp. 171-178
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1972 ◽
Vol 172
◽
pp. 491-491
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