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ON A FRIEDRICHS EXTENSION RELATED TO UNBOUNDED SUBNORMAL OPERATORS

Published online by Cambridge University Press:  24 March 2006

SAMEER CHAVAN  and
AMEER ATHAVALE
SAMEER CHAVAN
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India e-mail: sameer@math.iitb.ac.in, athavale@math.iitb.ac.in
AMEER ATHAVALE
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India e-mail: sameer@math.iitb.ac.in, athavale@math.iitb.ac.in
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Abstract

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We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal operators in Hilbert spaces to characterize the Friedrichs extensions of multiplication operators (with analytic symbols) in certain functional Hilbert spaces. Such characterizations lead to abstract Galerkin approximations and generalized wave equations.

Keywords

Primary 41A6547B20Secondary 35K9041A1047A0747B32
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 19 - 28
Copyright
2006 Glasgow Mathematical Journal Trust