Non-Archimedean K-spaces
Albert Kubzdela
Banach Center Publications, Tome 68 (2005), p. 87-93 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282244 
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     author = {Albert Kubzdela},
     title = {Non-Archimedean K-spaces},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {87-93},
     zbl = {1089.46047},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-10}
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Albert Kubzdela. Non-Archimedean K-spaces. Banach Center Publications, Tome 68 (2005) pp. 87-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-10/