A functional calculus for subnormal operators. II /

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 polynomial...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Conway, John B., 1939-, Olin, Robert F., 1948- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, [1977]
Colección:Memoirs of the American Mathematical Society ; no. 184.
Temas:
Subnormal operators.
Functional analysis.
Opérateurs sous-normaux.
Analyse fonctionnelle.
Functional analysis
Subnormal operators
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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