Abstract :
Characterizations for noncreasiness and uniform noncreasiness of the ψψ-direct sum of Banach spaces are given. As a consequence, the geometry of the infinite ℓpℓp-direct sum ℓp(Xn)ℓp(Xn) and the Lebesgue–Bochner space Lp(μ,X)Lp(μ,X) with respect to these notions is investigated where 1
Keywords :
Absolute normalized norm , Direct sum of Banach spaces , Uniformly noncreasy space , Uniformly smooth space , uniformly convex space
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications