Projective Tensor Product with Polynomial And Alpha Minimal of Banach Spaces

Abstract

A Banach space with few operation and an arbitrarily distortable are shown. We also show the sub symmetric sequences ,minimal spaces and subspaces with isomorphically homogenous sequences in a Banach spaces. Renormings, external structures and quantification of weak sequential completeness are obtained .We determine the big slice phenomena in M-embedded and L-embedded , the characterizations of unitaries with iii weakly open sets in the unit ball of the projective tensor product of Banach spaces. We study Banach spaces which satisfy linear identities ,polynomials and polynomial norms .We characterize the incomparability , non isomorphic and minimality and α-minimal Banach space.