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UNBOUNDED HERMITIAN OPERATORS ON KOLASKI SPACES

Published online by Cambridge University Press:  30 August 2013

JAMES JAMISON  and
RAENA KING
JAMES JAMISON
Affiliation:
Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA e-mail: [email protected]; [email protected]
RAENA KING
Affiliation:
Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA e-mail: [email protected]; [email protected]
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Abstract

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We investigate strongly continuous one-parameter (C0) groups of isometries acting on certain spaces of analytical functions which were introduced by Kolaski (C. J. Kolaski, Isometries of some smooth normed spaces of analytic functions, Complex Var. Theory Appl. 10(2–3) (1988), 115–122). We characterize the generators of these groups of isometries and also the spectrum of the generators. We provide an example on the Bloch space of an unbounded hermitian operator with non-compact resolvent.

Keywords

4647
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 3 , September 2014 , pp. 507 - 517
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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