The (weak) admissibility of the H-infinity-calculus for semigroup generators

F.L. Schwenninger; Heiko J. Zwart

The (weak) admissibility of the H-infinity-calculus for semigroup generators

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The goal of the following is to use (infinite-dimensional) linear systems theory to approach the H-infinity - functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f(A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f(A) is always weakly admissible and indeed coincides with classical approaches to H- infinity-calculus.

Original language	English
Title of host publication	Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
Place of Publication	Groningen
Publisher	University of Groningen
Pages	230-232
Number of pages	3
ISBN (Print)	978-90-367-6321-9
Publication status	Published - 7 Jul 2014
Event	21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands Duration: 7 Jul 2014 → 11 Jul 2014 Conference number: 21

Conference

Conference	21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
Abbreviated title	MTNS
Country/Territory	Netherlands
City	Groningen
Period	7/07/14 → 11/07/14

Keywords

MSC-93B07
METIS-309918
IR-94657
EWI-25779

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@inproceedings{e3e80fc9db1a43899b3f095e0b4d245b,

title = "The (weak) admissibility of the H-infinity-calculus for semigroup generators",

abstract = "The goal of the following is to use (infinite-dimensional) linear systems theory to approach the H-infinity - functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f(A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f(A) is always weakly admissible and indeed coincides with classical approaches to H- infinity-calculus.",

keywords = "MSC-93B07, METIS-309918, IR-94657, EWI-25779",

author = "F.L. Schwenninger and Zwart, \{Heiko J.\}",

note = "See also http://fwn06.housing.rug.nl/mtns/?page\_id=43; 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, MTNS ; Conference date: 07-07-2014 Through 11-07-2014",

year = "2014",

month = jul,

day = "7",

language = "English",

isbn = "978-90-367-6321-9",

pages = "230--232",

booktitle = "Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014",

publisher = "University of Groningen",

address = "Netherlands",

}

Schwenninger, FL & Zwart, HJ 2014, The (weak) admissibility of the H-infinity-calculus for semigroup generators. in Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014. University of Groningen, Groningen, pp. 230-232, 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, Groningen, Netherlands, 7/07/14. <http://eprints.eemcs.utwente.nl/secure2/25779/01/0207.pdf>

The (weak) admissibility of the H-infinity-calculus for semigroup generators. / Schwenninger, F.L.; Zwart, Heiko J.
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014. Groningen: University of Groningen, 2014. p. 230-232.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The (weak) admissibility of the H-infinity-calculus for semigroup generators

AU - Schwenninger, F.L.

AU - Zwart, Heiko J.

N1 - Conference code: 21

PY - 2014/7/7

Y1 - 2014/7/7

N2 - The goal of the following is to use (infinite-dimensional) linear systems theory to approach the H-infinity - functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f(A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f(A) is always weakly admissible and indeed coincides with classical approaches to H- infinity-calculus.

AB - The goal of the following is to use (infinite-dimensional) linear systems theory to approach the H-infinity - functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f(A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f(A) is always weakly admissible and indeed coincides with classical approaches to H- infinity-calculus.

KW - MSC-93B07

KW - METIS-309918

KW - IR-94657

KW - EWI-25779

M3 - Conference contribution

SN - 978-90-367-6321-9

SP - 230

EP - 232

BT - Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014

PB - University of Groningen

CY - Groningen

T2 - 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014

Y2 - 7 July 2014 through 11 July 2014

ER -

The (weak) admissibility of the H-infinity-calculus for semigroup generators

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Keywords

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