Less than one implies zero

DOI10.4064/sm8218-12-2015zbMath1337.47063arXiv1310.6202OpenAlexW3099437906MaRDI QIDQ3460247

Felix L. Schwenninger, Hans J. Zwart

Publication date: 6 January 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6202

zbMATH Keywords

cosine familiesoperator cosine functionszero-one-law

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 (5)

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 close to scalar families for fractional evolution equations: zero-one law ⋮ On close-to-scalar one-parameter cosine families

Cites Work

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• Around Schwenninger and Zwart's zero-two 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
• Zero-two law for cosine families
• On close-to-scalar one-parameter cosine families
• Ordinary differential equations in linear topological spaces. I
• Functional Calculus for C 0-semigroups Using Infinite-dimensional Systems Theory
• Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space
• ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES
• 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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