منابع مشابه
L p-SPACES FOR 0 < p < 1
In a first course in functional analysis, a great deal of time is spent with Banach spaces, especially the interaction between such spaces and their dual spaces. Banach spaces are a special type of topological vector space, and there are important topological vector spaces which do not lie in the Banach category, such as the Schwartz spaces. The most fundamental theorem about Banach spaces is t...
متن کاملEmbeddings of Non-commutative L P -spaces in Non-commutative L 1 -spaces, 1 < P < 2
It will be shown that for 1 < p < 2 the Schatten p-class is isometrically isomor-phic to a subspace of the predual of a von Neumann algebra. Similar results hold for non-commutative L p (N;)-spaces deened by a semi-nite, normal, faithful trace on a von Neumann algebra N. The embeddings rely on a suitable notion of p-stable processes in the non-commutative setting.
متن کاملAsymptotic L P Spaces and Bounded Distortions
The new class of Banach spaces, so-called asymptotic lp spaces, is introduced and it is shown that every Banach space with bounded distortions contains a subspace from this class. The proof is based on an investigation of certain functions, called enveloping functions, which are intimately connected with stabilization properties of the norm. 0 Introduction During the last year several problems ...
متن کاملOn Semi * - Connected and Semi * - Compact Spaces
The purpose of this paper is to introduce the concepts of semi*-connected spaces, semi*-compact spaces and semi*-Lindelof spaces. We investigate their basic properties. We also discuss their relationship with already existing concepts. Mathematics Subject Classification: 54D05, 54D30.
متن کاملCOMPOSITION OPERATORS ON HAAGERUP L p-SPACES
Building on the ideas in [Lab] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.
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: Baghdad Science Journal
سال: 2011
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.8.4.1012-1020