Non-Archimedean K-spaces

• Autorzy: Albert Kubzdela
• Języki publikacji: EN

Abstrakty

EN

We study Banach spaces over a non-spherically complete non-Archimedean valued field K. We prove that a non-Archimedean Banach space over K which contains a linearly homeomorphic copy of $l^{∞}$ (hence $l^{∞}$ itself) is not a K-space. We discuss the three-space problem for a few properties of non-Archimedean Banach spaces.

Kategorie tematyczne

• 46S10: Functional analysis over fields other than 𝐑 or 𝐂 or the quaternions; non-Archimedean functional analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 68
• Numer: 1
• Strony: 87-93

Daty

wydano

2005

Twórcy

autor

Albert Kubzdela

• Institute of Civil Engineering, Poznań University of Technology, Piotrowo 5, 61-138 Poznań, Poland

Identyfikatory

DOI

10.4064/bc68-0-10