| Description |
1 online resource (72 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; no. 184 |
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Memoirs of the American Mathematical Society ; no. 184.
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| Contents |
Notation and preliminaries -- Lifting of elements in the algebra generated by a subnormal operator -- A decomposition of the weak star closed subalgebras of [italic]L[infinity symbol]([lowercase Greek]Mu) -- The weak star closure of the polynomials : a refinement of a result of D. Sarason -- The equivalence of an approximation problem and a minimal normal extension problem -- The solution of the minimal normal extension problem -- A decomposition of subnormal operators -- The spectral theory of [script]f([italic]S) for [script]f in [italic]P[infinity symbol]([lowercase Greek]Mu) -- The nonreducing invariant subspaces of a normal operator -- Miscellaneous remarks and unsolved problems |
| Summary |
Let S be a subnormal operator on a Hilbert space [script]H with minimal normal extension [italic]N operating on [italic]K, and let [lowercase Greek]Mu be a scalar valued spectral measure for [italic]N. If [italic]P[infinity symbol]([lowercase Greek]Mu) denotes the weak star closure of the polynomials in [italic]L[infinity symbol]([lowercase Greek]Mu) = [italic]L¹[infinity symbol]([lowercase Greek]Mu) then for [script]f in [italic]P[infinity symbol]([lowercase Greek]Mu) it follows that [script]f([italic]N) leaves [script]H invariant; if [script]f([italic]S) is defined as the restriction of [script]f([italic]N) to [script]H then a functional calculus for [italic]S is obtained. This functional calculus is investigated in this paper |
| Bibliography |
Includes bibliographical references (pages 59-61) |
| Notes |
English |
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Print version record |
| Subject |
Subnormal operators.
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Functional analysis.
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Functional analysis
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Subnormal operators
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| Form |
Electronic book
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| Author |
Olin, Robert F., 1948- author.
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| ISBN |
9781470400507 |
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1470400502 |
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