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Upper and lower estimates in Banach sequence spaces [PDF]

, 1995
summary:Here we study the existence of lower and upper $\ell _p$-estimates of sequences in some Banach sequence spaces. We also compute the sharp $\ell _p$ estimates in their basis.
Gonzalo, Raquel, Raquel Gonzalo
core

Type, cotype and convexity properties of quasi-Banach spaces

, 2004
Results on quasi-Banach spaces, their type and cotype together with the convexity and concavity of quasi-Banach lattices are collected. Several proofs are included.
Maligranda, Lech
core +1 more source

Banach Spaces [PDF]

, 2014
У статті розкрито теоретичні основи банахових просторів, зв'язок метричного та нормованого просторів, встановлений зв'язок між фундаментальність послідовності та її збіжністю в банахових просторах.The article deals with the theoretical foundations of ...
Новак Ю. М., Novak Yu. M.
core

ON DUAL OF BANACH SEQUENCE SPACES

, 2013
. J. Hagler and P. Azimi have introduced a class of Banach sequence spaces, the X α,1 spaces as a class of hereditarily 1 Banach spaces. In this paper, we show that (i) X * α,1 , the dual of Banach space X α,1 contains asymptotically isometric copies of ∞
V Parvaneh, A A Ledari
core

Fixed point approximation for generalized μ-Reich-Suzuki nonexpansive mappings with application. [PDF]