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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Conway, John B.,  |d 1939-  |1 https://id.oclc.org/worldcat/entity/E39PBJckKmb4G4J7RTxMHwH9jC 
245 1 2 |a A functional calculus for subnormal operators.  |n II /  |c John B. Conway and Robert F. Olin. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c [1977] 
264 4 |c ©1977 
300 |a 1 online resource (72 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v no. 184 
504 |a Includes bibliographical references (pages 59-61). 
505 0 0 |t Notation and preliminaries --  |t Lifting of elements in the algebra generated by a subnormal operator --  |t A decomposition of the weak star closed subalgebras of [italic]L[infinity symbol]([lowercase Greek]Mu) --  |t The weak star closure of the polynomials : a refinement of a result of D. Sarason --  |t The equivalence of an approximation problem and a minimal normal extension problem --  |t The solution of the minimal normal extension problem --  |t A decomposition of subnormal operators --  |t The spectral theory of [script]f([italic]S) for [script]f in [italic]P[infinity symbol]([lowercase Greek]Mu) --  |t The nonreducing invariant subspaces of a normal operator --  |t Miscellaneous remarks and unsolved problems. 
520 |a 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. 
588 0 |a Print version record. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Subnormal operators. 
650 0 |a Functional analysis. 
650 6 |a Opérateurs sous-normaux. 
650 6 |a Analyse fonctionnelle. 
650 7 |a Functional analysis  |2 fast 
650 7 |a Subnormal operators  |2 fast 
700 1 |a Olin, Robert F.,  |d 1948-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjC9RBK8gB8j4yGQfkJ7HC 
776 0 8 |i Print version:  |a Conway, John B.  |t Functional calculus for subnormal operators II.  |d Providence : American Mathematical Society, [1977]  |h vii, 61 ; 26 cm  |k Memoirs of the American Mathematical Society ; no. 184  |z 9780821821848 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 184. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113581  |z Texto completo 
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