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Sectorial forms and unbounded subnormals

DSpace at IIT Bombay

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Title Sectorial forms and unbounded subnormals
 
Creator ATHAVALE, A
CHAVAN, S
 
Subject normal extensions
operators
 
Description We use the theory of sectorial sesquilinear forms to characterize the closure of the Creation Operator of Quantum Mechanics in the classical set-up. Further, we bring that theory to bear upon the class of unbounded cyclic subnormal operators that admit analytic models; in particular, we provide a sufficient condition for the existence of complete sets of eigenvectors for certain sectorial operators related to unbounded subnormals. The relevant theory is illustrated in the context of a class of analytic models of which the classical Segal-Bargmann space is a prototype. The framework of sectorial sesquilinear forms is also shown to be specially useful for treating questions related to the existence, uniqueness and stability of certain parabolic evolution equations naturally associated with such analytic models.
 
Publisher CAMBRIDGE UNIV PRESS
 
Date 2011-07-19T10:51:58Z
2011-12-26T12:51:10Z
2011-12-27T05:37:37Z
2011-07-19T10:51:58Z
2011-12-26T12:51:10Z
2011-12-27T05:37:37Z
2007
 
Type Article
 
Identifier MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 143(), 685-702
0305-0041
http://dx.doi.org/10.1017/S0305004107000552
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5273
http://hdl.handle.net/10054/5273
 
Language en