Asymptotic intertwining and spectral inclusions on Banach spaces
Kjeld Bagger Laursen, Michael M. Neumann (1993)
Czechoslovak Mathematical Journal
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Kjeld Bagger Laursen, Michael M. Neumann (1993)
Czechoslovak Mathematical Journal
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Pavla Vrbová (1972)
Časopis pro pěstování matematiky
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Kjeld Bagger Laursen, Pavla Vrbová (1989)
Czechoslovak Mathematical Journal
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Mihai Putinar (1997)
Banach Center Publications
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The paper relates several generalized eigenfunction expansions to classical spectral decomposition properties. From this perspective one explains some recent results concerning the classes of decomposable and generalized scalar operators. In particular a universal dilation theory and two different functional models for related classes of operators are presented.