Title of article :
Uniqueness of unconditional bases in nonlocally convex -products
Author/Authors :
Albiac، نويسنده , , F. and Lerلnoz، نويسنده , , C.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
We show that the ℓ 1 -product ( X ⊕ X ⊕ ⋯ ⊕ X ⊕ ⋯ ) 1 has a unique unconditional basis up to permutation for a wide class of nonlocally convex quasi-Banach spaces X, even without knowing whether X has a unique unconditional basis or not.
Keywords :
Quasi-Banach space , Uniqueness of unconditional basis up to a permutation , Lattice anti-Euclidean
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications