We consider some classes of infinite-dimensional Banach spaces with integrable derivatives. A compactness lemma for nonreflexive spaces is obtained. However some main topological properties for the given spaces are obtained. This work is continuation of [1]. Theorem 1.);(*0 HSCW ⊂ with continuous embedding. Moreover, for every *0, Wy ∈ξ and,s t S ∈ the next formula of integration by parts takes place.))}(),(())(),({(=))(),(())(),( ( ττξττξτξξ dyyssytty t s ′+′ − ∫ (1) In particular, when ξ=y we have: τττ dyysyty
AbstractThis paper is concerned with compactness for some topologies on the collection of bounded li...
Abstract- Let T = fT (t)gt>0 be a C0semigroup on a Banach space X. We prove the following results...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
Abstract. We consider some classes of Banach spaces with integrable derivatives. An important compac...
Dinca George. Duality mappings on infinite dimensional reflexive and smooth Banach spaces are not co...
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded ...
summary:The space $\mathcal {HK}$ of Henstock-Kurzweil integrable functions on $[a,b]$ is the uncoun...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
Let X be a Banach space and ΓC X* a total linear subspace. We study the concept of Γ-integrabi...
ABSTRACT. Let PI denote the Banach space composed of all bounded derivatives f of everywhere differe...
In the geometric theory of Banach spaces of smooth functions the following problem is of considerabl...
Abstract. A famous dominated compactness theorem due to Krasnosel’skĭı states that compactness of a...
Abstract. Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let Crc(X,E) ...
AbstractIn this paper we study the functions which operate on Re A (the space of real parts of eleme...
The paper shows that, if the operator T:A(c)!B(c) is compact for almost every c ‘C, then T:F(Aa)! F(...
AbstractThis paper is concerned with compactness for some topologies on the collection of bounded li...
Abstract- Let T = fT (t)gt>0 be a C0semigroup on a Banach space X. We prove the following results...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...
Abstract. We consider some classes of Banach spaces with integrable derivatives. An important compac...
Dinca George. Duality mappings on infinite dimensional reflexive and smooth Banach spaces are not co...
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded ...
summary:The space $\mathcal {HK}$ of Henstock-Kurzweil integrable functions on $[a,b]$ is the uncoun...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
Let X be a Banach space and ΓC X* a total linear subspace. We study the concept of Γ-integrabi...
ABSTRACT. Let PI denote the Banach space composed of all bounded derivatives f of everywhere differe...
In the geometric theory of Banach spaces of smooth functions the following problem is of considerabl...
Abstract. A famous dominated compactness theorem due to Krasnosel’skĭı states that compactness of a...
Abstract. Let X be a completely regular Hausdorff space, and E and F be Banach spaces. Let Crc(X,E) ...
AbstractIn this paper we study the functions which operate on Re A (the space of real parts of eleme...
The paper shows that, if the operator T:A(c)!B(c) is compact for almost every c ‘C, then T:F(Aa)! F(...
AbstractThis paper is concerned with compactness for some topologies on the collection of bounded li...
Abstract- Let T = fT (t)gt>0 be a C0semigroup on a Banach space X. We prove the following results...
AbstractLet C(X) be the Banach space of continuous real-valued functions of an infinite compactum X ...