A direct approach to the Weiss conjecture for bounded analytic semigroups

Bounit Hamid; Driouich Adberrahim; El-Mennaoui Omar

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 2, page 527-539
  • ISSN: 0011-4642

Abstract

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We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded H ∞ -calculus and is based on elementary analysis.

How to cite

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Hamid, Bounit, Adberrahim, Driouich, and Omar, El-Mennaoui. "A direct approach to the Weiss conjecture for bounded analytic semigroups." Czechoslovak Mathematical Journal 60.2 (2010): 527-539. <http://eudml.org/doc/38025>.

@article{Hamid2010,
abstract = {We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded $H^\{\infty \}$-calculus and is based on elementary analysis.},
author = {Hamid, Bounit, Adberrahim, Driouich, Omar, El-Mennaoui},
journal = {Czechoslovak Mathematical Journal},
keywords = {infinite dimensional systems; analytic semigroups; unbounded observation operator; admissibility; fractional power; infinite-dimensional system; analytic semigroup; unbounded observation operator; admissibility; fractional power},
language = {eng},
number = {2},
pages = {527-539},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A direct approach to the Weiss conjecture for bounded analytic semigroups},
url = {http://eudml.org/doc/38025},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Hamid, Bounit
AU - Adberrahim, Driouich
AU - Omar, El-Mennaoui
TI - A direct approach to the Weiss conjecture for bounded analytic semigroups
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 527
EP - 539
AB - We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded $H^{\infty }$-calculus and is based on elementary analysis.
LA - eng
KW - infinite dimensional systems; analytic semigroups; unbounded observation operator; admissibility; fractional power; infinite-dimensional system; analytic semigroup; unbounded observation operator; admissibility; fractional power
UR - http://eudml.org/doc/38025
ER -

References

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