Weakly admissible \({\mathcal H}_{\infty}^{-} \)-calculus on reflexive Banach spaces (Q692578)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly admissible \({\mathcal H}_{\infty}^{-} \)-calculus on reflexive Banach spaces |
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Weakly admissible \({\mathcal H}_{\infty}^{-} \)-calculus on reflexive Banach spaces (English)
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6 December 2012
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The authors of the paper under review consider exponentially stable \(C_0\)-semigroups of operators on reflexive Banach spaces. For such a semigroup, they consider its generator \(A\) and construct an unbounded functional calculus \(f\mapsto f(A)\) for bounded analytic functions \(f\) on the left half-plane. The construction is inspired by systems theory and involves Toeplitz operators.
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\({\mathcal H}_{\infty}^{-} \) functional calculus
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operator semigroup
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Toeplitz operator
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weak admissibility
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exact observability by direction
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