On l1-Invariant Sequence Spaces
Copyright policy )On l1-Invariant Sequence Spaces
In a recent paper the author [Stud. Math. 139, No.~1, 47-68 (2000; Zbl 0991.47013)] introduced and investigated extensively a new sectional property for topological sequence spaces. He names this additional property as the property KB. Here he has shown that the multipliers into \(\ell^?\) and multiplication by \(\ell^1\) play a similar role for KB as is familiar involving these concepts in some other known sequence spaces. However, one also encounters noteworthy differences. One of these differences motivates the study of \(\ell^1\)-invariant sequence spaces.
- University of Mons Belgium
- University of Hagen Germany
Summability and bases in topological vector spaces, Physique, chimie, mathématiques & sciences de la terre, property AD, Applied Mathematics, \(\ell^1\)-Invariance, topological sequence spaces, Köthe echlon space, \(\ell^1\)-invariant sequences spaces, FK-space, Mathématiques, Physical, chemical, mathematical & earth Sciences, multipliers, Mathematics, Sequence spaces (including Köthe sequence spaces), Analysis, Ordered topological linear spaces, vector lattices
Summability and bases in topological vector spaces, Physique, chimie, mathématiques & sciences de la terre, property AD, Applied Mathematics, \(\ell^1\)-Invariance, topological sequence spaces, Köthe echlon space, \(\ell^1\)-invariant sequences spaces, FK-space, Mathématiques, Physical, chemical, mathematical & earth Sciences, multipliers, Mathematics, Sequence spaces (including Köthe sequence spaces), Analysis, Ordered topological linear spaces, vector lattices
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