Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولContinuous Linear Operators on Spaces of Continuous Functions
Throughout this paper X denotes a bicompact space, B(X) denotes the Banach space of all bounded real-valued functions on X, C(X) denotes the closed linear subspace of B(X) of continuous real-valued functions on X, B(N) is denoted by m (where N is the set of positive integers). The space h(X) is the Banach space of all absolutely summable real-valued functions on X and k denotes k(N). The sequen...
متن کاملINTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
The object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. Relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.
متن کاملStability of essential spectra of bounded linear operators
In this paper, we show the stability of Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectrum of bounded linear operators on Banach spaces which remain invariant under additive perturbations belonging to a broad classes of operators $U$ such $gamma(U^m)
متن کاملUniformly summing sets of operators on spaces of continuous functions
Let X and Y be Banach spaces. A set ᏹ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (x n) in X, the series n T x n is uniformly convergent in T ∈ ᏹ. We study some general properties and obtain a characterization of these sets when ᏹ is a set of operators defined on spaces of continuous functions.
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: Operators and Matrices
سال: 2019
ISSN: 1846-3886
DOI: 10.7153/oam-2019-13-63