beta-admissibility of observation operators for hypercontractive semigroups

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Title: beta-admissibility of observation operators for hypercontractive semigroups
Authors: Jacob, B
Partington, JR
Pott, S
Wynn, A
Item Type: Journal Article
Abstract: We prove a Weiss conjecture on β-admissibility of observation operators for discrete and continuous γ-hypercontractive semigroups of operators, by representing them in terms of shifts on weighted Bergman spaces and using a reproducing kernel thesis for Hankel operators. Particular attention is paid to the case γ=2, which corresponds to the unweighted Bergman shift.
Issue Date: 24-Jun-2017
Date of Acceptance: 1-Jun-2017
URI: http://hdl.handle.net/10044/1/58685
DOI: https://dx.doi.org/10.1007/s00028-017-0395-1
ISSN: 1424-3199
Publisher: SPRINGER BASEL AG
Start Page: 153
End Page: 170
Journal / Book Title: JOURNAL OF EVOLUTION EQUATIONS
Volume: 18
Issue: 1
Copyright Statement: © 2017 Springer International Publishing AG. The final publication is available at https://dx.doi.org/10.1007/s00028-017-0395-1
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Admissibility
Semigroup system
Dilation theory
Bergman space
Hypercontraction
Reproducing kernel thesis
Hankel operator
WEISS CONJECTURE
HANKEL-OPERATORS
COUNTEREXAMPLES
C-0-SEMIGROUPS
DISCRETE
SPACES
0101 Pure Mathematics
General Mathematics
Publication Status: Published
Appears in Collections:Faculty of Engineering
Aeronautics



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