Zero-two law for cosine families

DOI10.1007/S00028-015-0272-8zbMath1342.47060arXiv1402.1304OpenAlexW3105143163WikidataQ59429586 ScholiaQ59429586MaRDI QIDQ748400

Felix L. Schwenninger, Hans J. Zwart

Publication date: 20 October 2015

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1304

zbMATH Keywords

semigroup of operatorszero-two lawzero-one lawoperator cosine function

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (10)

Around Schwenninger and Zwart's zero-two law for cosine families ⋮ Less than one implies zero ⋮ Isolated points of spaces of homomorphisms from ordered AL-algebras ⋮ A ZERO- LAW FOR COSINE FAMILIES ⋮ A short proof of the zero-two law for cosine functions ⋮ Bounded cosine functions close to continuous scalar bounded cosine functions ⋮ On Wallen-type formulae for integrated semigroups and sine functions ⋮ On close to scalar families for fractional evolution equations: zero-one law ⋮ Zero-two law for cosine families ⋮ On close-to-scalar one-parameter cosine families

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• Dichotomy Results for Norm Estimates in Operator Semigroups
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• Vector-valued Laplace Transforms and Cauchy Problems
• Shorter Notes: On the Magnitude of x n - 1 in a Normed Algebra
• On semi-groups in Banach algebras close to the identity

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