Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces

@inproceedings{Haak2005AdmissibilityOU,
  title={Admissibility of Unbounded Operators and Wellposedness of Linear Systems in Banach Spaces},
  author={Bernhard H. Haak},
  year={2005}
}
We study linear systems, described by operators A, B, C for which the state space X is a Banach space. We suppose that −A generates a bounded analytic semigroup and give conditions for admissibility of B and C corresponding to those in G. Weiss’ conjecture. The crucial assumptions on A are boundedness of an H∞–calculus or suitable square function estimates, allowing to use techniques recently developed by N. Kalton and L. Weis. For observation spaces Y or control spaces U that are not Hilbert… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 38 references

On square functions associated to sectorial operators

Christian Le Merdy
Bull. Soc. Math. France, • 2004
View 14 Excerpts
Highly Influenced

Operator Theory and Harmonic

XUAN DUONG, Alan Mcintosh
1996
View 5 Excerpts
Highly Influenced

Interpolation theory, function spaces, differential operators

Hans Triebel
Johann Ambrosius Barth, Heidelberg, second edition, • 1995
View 4 Excerpts
Highly Influenced

Banach space operators with a bounded H∞ functional calculus

Michael Cowling, Ian Doust, Alan McIntosh, Atsushi Yagi
J. Austral. Math. Soc. Ser. A, • 1996
View 6 Excerpts
Highly Influenced

Operators of type ω without a bounded H∞ functional calculus

Alan McIntosh, Atsushi Yagi
In Miniconference on Operators in Analysis (Sydney, • 1989
View 4 Excerpts
Highly Influenced

Operators which have an H∞ functional calculus. In Miniconference on operator theory and partial differential equations (North Ryde, 1986), volume

Alan McIntosh
Proc. Centre Math. Anal. Austral. Nat. Univ., • 1986
View 6 Excerpts
Highly Influenced

Admissibility of control and observation operators for semigroups: a survey. In Current trends in operator theory and its applications, volume 149 of Oper

Birgit Jacob, Jonathan R. Partington
Theory Adv. Appl., • 2004
View 2 Excerpts

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