Concepedia

A direct approach to the Weiss conjecture for bounded analytic semigroups

Hamid Bounit, Driouich Adberrahim, O. El-Mennaoui

Czechoslovak Mathematical Journal · 2010 · 15 citations · 17 references

DOI

Concepts

Abstract

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.

References

17

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Admissibility of Unbounded Control Operators

George H. Weiss · SIAM Journal on Control and Optimization · 1989 · 494 citations

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Fractional powers of closed operators and the semigroups generated by them

A. V. Balakrishnan · Pacific Journal of Mathematics · 1960 · 440 citations · Full text

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Admissible observation operators for linear semigroups

George H. Weiss · Israel Journal of Mathematics · 1989 · 361 citations

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THE WEISS CONJECTURE FOR BOUNDED ANALYTIC SEMIGROUPS

Christian Le Merdy · Journal of the London Mathematical Society · 2003 · 75 citations

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