Central Subspaces of Banach Spaces
β Scribed by Pradipta Bandyopadhyay; T.S.S.R.K. Rao
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 194 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
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## Abstract Dense linear subspaces of quasinormable FrΓ©chet spaces need not be quasinormable, as an example due to J. Bonet and S. Dierolf proved. A characterization of the quasinormability of dense linear subspaces of quasinormable locally convex spaces and several consequences are given. Moreover
## Abstract Let __V__~n~(q) denote a vector space of dimension __n__ over the field with __q__ elements. A set ${\cal P}$ of subspaces of __V__~n~(q) is a __partition__ of __V__~n~(q) if every nonzero element of __V__~n~(q) is contained in exactly one element of ${\cal P}$. Suppose there exists a p