# Non-Archimedean K-spaces

Banach Center Publications (2005)

- Volume: 68, Issue: 1, page 87-93
- ISSN: 0137-6934

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topAlbert Kubzdela. "Non-Archimedean K-spaces." Banach Center Publications 68.1 (2005): 87-93. <http://eudml.org/doc/282244>.

@article{AlbertKubzdela2005,

abstract = {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.},

author = {Albert Kubzdela},

journal = {Banach Center Publications},

keywords = {non-Archimedean Banach spaces; -spaces; three-space property},

language = {eng},

number = {1},

pages = {87-93},

title = {Non-Archimedean K-spaces},

url = {http://eudml.org/doc/282244},

volume = {68},

year = {2005},

}

TY - JOUR

AU - Albert Kubzdela

TI - Non-Archimedean K-spaces

JO - Banach Center Publications

PY - 2005

VL - 68

IS - 1

SP - 87

EP - 93

AB - 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.

LA - eng

KW - non-Archimedean Banach spaces; -spaces; three-space property

UR - http://eudml.org/doc/282244

ER -

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