ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES

DOI10.1017/S1446788715000038zbMath1331.47065arXiv1411.0854OpenAlexW3106490987MaRDI QIDQ2949823

Wojciech Chojnacki

Publication date: 2 October 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0854

zbMATH Keywords

cosine sequencecosine familynormed algebrascalar element

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Linear operators in algebras (47C05)

Related Items (9)

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 ⋮ On close-to-scalar one-parameter cosine families

Cites Work

• Unnamed Item
• Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space
• On semi-groups in Banach algebras close to the identity

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