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ON A FRIEDRICHS EXTENSION RELATED TO UNBOUNDED SUBNORMAL OPERATORS

Published online by Cambridge University Press:  24 March 2006

SAMEER CHAVAN
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India e-mail: [email protected], [email protected]
AMEER ATHAVALE
Affiliation:
Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India e-mail: [email protected], [email protected]
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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.

Type
Research Article
Copyright
2006 Glasgow Mathematical Journal Trust