\(C_{0}\)-semigroups of linear operators on some ultrametric Banach spaces

DOI10.1155/IJMMS/2006/52398zbMath1123.47054MaRDI QIDQ884222

Tocka Diagana

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53539

zbMATH Keywords

semigroup of operatorsabstract Cauchy problemultrametric Banach space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (5)

$C$-groups and mixed $C$-groups of bounded linear operators on non-archimedean Banach spaces ⋮ Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces ⋮ Cosine families of bounded linear operators on non-archimedean Banach spaces ⋮ On mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces ⋮ A note on C0-groups and C-groups on non-archimedean Banach spaces

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• An introduction to partial differential equations
• An operator on some ultrametric Hilbert spaces
• \(p\)-adic numbers: An introduction.
• Differential equations for \({\mathbb F}_q\)-linear functions
• Towards a theory of some unbounded linear operators on \(p\)-adic Hilbert spaces and applications
• A Schrödinger-type equation over the field of p-adic numbers
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions
• p-adic commutation relations
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