Non-Archimedean shift operators

DOI10.1134/S2070046610030088zbMath1270.47069arXiv1006.0077OpenAlexW1981285096MaRDI QIDQ1760238

Anatoly N. Kochubei

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0077

zbMATH Keywords

annihilation operatorbackward shiftunilateral shiftnon-Archimedean Banach spaceTate algebraindefinite sum

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (1)

A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\)

Cites Work

• p-adic commutation relations
• Non-Archimedean normal operators
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