Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416875 | Linear Algebra and its Applications | 2011 | 6 Pages |
Abstract
Let X be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces E of X-valued sequences, the sets E-âqâÎâq(X), where Î is any subset of (0,â], and E-c0(X) contain closed infinite-dimensional subspaces of E (if non-empty, of course). This result is applied in several particular cases and it is also shown that the same technique can be used to improve a result on the existence of spaces formed by norm-attaining linear operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
G. Botelho, D. Diniz, V.V. Fávaro, D. Pellegrino,