Description 
1 online resource (72 pages) 
Series 
Memoirs of the American Mathematical Society, 00659266 ; no. 184 

Memoirs of the American Mathematical Society ; no. 184.

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 5961) 
Notes 
English 

Print version record 
Subject 
Subnormal operators.


Functional analysis.


Functional analysis


Subnormal operators

Form 
Electronic book

Author 
Olin, Robert F., 1948 author.

ISBN 
9781470400507 

1470400502 
