Left-invertible semigroups on Hilbert spaces

Heiko J. Zwart

doi:10.1007/s00028-013-0181-7

Left-invertible semigroups on Hilbert spaces

Heiko J. Zwart

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

4 Downloads (Pure)

Abstract

For strongly continuous semigroups on a Hilbert space, we present a short proof of the fact that the left inverse of a left-invertible semigroup can be chosen to be a semigroup as well. Furthermore, we show that this semigroup need not to be unique

Original language	Undefined
Pages (from-to)	335-342
Number of pages	8
Journal	Journal of evolution equations
Volume	13
Issue number	2
DOIs	https://doi.org/10.1007/s00028-013-0181-7
Publication status	Published - 2013

Keywords

MSC-47D06
MSC-93B07
MSC-93C25
MSC-47A05
IR-86147
EWI-23390
Exact observability
Left inverse
METIS-297668
Strongly continuous semigroup

Access to Document

10.1007/s00028-013-0181-7

http://eprints.eemcs.utwente.nl/secure2/23390/01/10.1007-s00028-013-0181-7.pdf

Cite this

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title = "Left-invertible semigroups on Hilbert spaces",

abstract = "For strongly continuous semigroups on a Hilbert space, we present a short proof of the fact that the left inverse of a left-invertible semigroup can be chosen to be a semigroup as well. Furthermore, we show that this semigroup need not to be unique",

keywords = "MSC-47D06, MSC-93B07, MSC-93C25, MSC-47A05, IR-86147, EWI-23390, Exact observability, Left inverse, METIS-297668, Strongly continuous semigroup",

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T1 - Left-invertible semigroups on Hilbert spaces

AU - Zwart, Heiko J.

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AB - For strongly continuous semigroups on a Hilbert space, we present a short proof of the fact that the left inverse of a left-invertible semigroup can be chosen to be a semigroup as well. Furthermore, we show that this semigroup need not to be unique

KW - MSC-47D06

KW - MSC-93B07

KW - MSC-93C25

KW - MSC-47A05

KW - IR-86147

KW - EWI-23390

KW - Exact observability

KW - Left inverse

KW - METIS-297668

KW - Strongly continuous semigroup

U2 - 10.1007/s00028-013-0181-7

DO - 10.1007/s00028-013-0181-7

M3 - Article

SN - 1424-3199

VL - 13

SP - 335

EP - 342

JO - Journal of evolution equations

JF - Journal of evolution equations

IS - 2

ER -