On bases in Banach spaces

By Tomek Bartoszynski, M. Džamonja, L. Halbeisen, Eva Murtinová, A. Plichko. 2005

270 citations recorded by the source corpus.

How researchers see this paper

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Closed categories (2022, unknown): “S. Karlin 1948 has shown that there isn’t any such base even in a space of continuous scalar functions over compact interval C ↑ [0, 1].”
Comparison of systems with complex behavior (2004, background): “· κi2m+1(π2m+1), whereπi is theith coordinate function, πi(x) = xi ∈ R, constitute a complete set in C(B) [36] and thus finite linear”
Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform (2010, background): “1 in [16] shows that this property is equivalent to the existence of a constant B <∞ such that ‖ ∑”
A basis theory primer (2011, background): “The results presented here were drawn from many sources, but especially from the indispensable books by Lindenstrauss and Tzafriri [LT77], Marti [Mar69], Singer [Sin70], and Young [You80].”