منابع مشابه
On Reflexive Norms for the Direct Product of Banach Spaces
Introduction. In a previous paper [7]('), for two Banach spaces Eu E2, the Banach spaces Ei®E2, E{ ®E2, E(' ®E2' [7, p. 205] are constructed. If the norm N [7, Definition 3.1] is defined on Ei®E2, then the associate norm N' [7, Definition 3.2 and Lemma 3.1] is defined on E{ ®E2. Similarly N" denotes the norm on E{' ®E". Among the unsolved problems (mentioned in [7, §6]), are listed the followin...
متن کاملThe Banach-saks Property of the Banach Product Spaces
In this paper we first take a detail survey of the study of the Banach-Saks property of Banach spaces and then show the Banach-Saks property of the product spaces generated by a finite number of Banach spaces having the Banach-Saks property. A more general inequality for integrals of a class of composite functions is also given by using this property.
متن کاملNonlinear Evolution Equations and Product Stable Operators on Banach Spaces
The method of product integration is used to obtain solutions to the time dependent Banach space differential equation u'(t) = A(t)(u(t)), iäO, where A is a function from [0, oo) to the set of nonlinear operators from the Banach space X to itself and « is a function from [0, oo) to X. The main requirements placed on A are that A is m-dissipative and product stable on its domain. Applications ar...
متن کاملNonlinear Evolution Equations and Product Stable Operators on Banach Spaces
The method of product integration is used to obtain solutions to the time dependent Banach space differential equation u'(t) = A(t)(u(t)), iäO, where A is a function from [0, oo) to the set of nonlinear operators from the Banach space X to itself and « is a function from [0, oo) to X. The main requirements placed on A are that A is m-dissipative and product stable on its domain. Applications ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1943
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1943-0007568-7