dual space
Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space
... the dual space of a Banach space, and we also construct an iterative procedure generated by a hybrid method for solving the solution of a generalized equilibrium problem by using the sunny ...
22
Theoretical Expression of the Balance Function during Galvanic Vestibular Stimulation in Dual Space
... A method to construct a stochastic differential equation describing a non-Gaussian process in a stationary state and to obtain a static potential function in terms of the temporal average is proposed. However, it has ...
6
Dual Space Re ranking Model for Document Retrieval
... the dual-space model proposed by this paper is now ...the dual-space model: the number of dimensions produced by the explicit model has to correspond to the number of dimensions induced by the ...
9
Dual Space Re ranking Model for Document Retrieval
... semantic space construction and improved ranking ...a dual-space model which incorporates external knowledge to enhance the space produced by the latent concept ...semantic space: ...
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PARAMETRIC CONVERGENCE IMPLIES PROJECTIVE CONVERGENCE IN THE DUAL SPACE OF A FUNCTION SPACE
... on dual space of a sequence ...on dual space was extended to the case of function ...of dual space of a function space was also observed by some of the researcher of this ...
5
“Some Results on the Dual Space of Normed Almost Linear Space”
... linear space which generalizes normed linear ...linear space is a good concept the notion of a dual space of normed almost linear space X, has been introduced in this ...linear ...
12
Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space
... Banach space with dual space E* and C be a nonempty closed subset of E such that J(C) is a closed and convex subset of E*, where J is the normal- ized duality mapping from E onto ...
11
On the dual space of a weighted Bergman space on the unit ball of Cn
... The Hackey topology of a non-locally convex topological vector space X,x is the unique locally convex topology m on X satisfying the follow3... is weaker than x,.[r] ...
8
Closure algebras
... The next theorem sets out the relationships between the dual spaces ef a finite family of cocompact closure algebras and the dual space of their product... are topological spaces and.[r] ...
140
On β dual of vector valued sequence spaces of Maddox
... sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically ...
10
Algebraic spectral synthesis and crystal rigidity
... By Lemma 3.8 the set S consists of the differential operator functionals that annihilate B . In particular S is an invariant set for the shift operators and their inverses. By Lemma 3.9 it follows that the linear span of ...
11
The Riesz space structure of an Abelian W* algebra
... In V, it is shown that the real part of an Abelian W*-algebra M is a perfect Riesz space; this is used to derive the well known result that M is a dual space as a Banach space, namely, M[r] ...
86
Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators
... norm and his dual space in the respective norm are strictly convex spaces). Moreover, the obtained results are used to prove some fixed-point theorems for sufficiently general mappings. It should be noted ...
14
Topological degree and application to a parabolic variational inequality problem
... In 1934, Leray and Schauder extended this concept to infinite dimensional Banach spaces with mappings of the form f = I − g, where I is the identity map and g is a compact map (see [7]). The uniqueness of the two degree ...
15
Ray's Theorem for Firmly Nonexpansive-Like Mappings and Equilibrium Problems in Banach Spaces
... the dual space E ∗ of a Banach space E at x ∈ E is denoted by x, x ∗ ...Banach space E is smooth, that is, the limit lim t→ 0 1/tx ty − x exists for all norm one elements x, y ∈ ...
7
Double dual types over the Banach space C(K)
... Let K be a compact Hausdor ff space and C(K ) the Banach space of all real-valued contin- uous functions on K, with the sup-norm. Types over C(K ) (in the sense of Krivine and Maurey) can be uniquely ...
13
Universal Fréchet sets in Banach spaces
... Proof. This is now immediate from Theorem 4.37, Lemma 4.8 and Lemma 4.10. Remark 4.39. Since any totally bounded metric space (R, γ ) clearly satisfies the condition in Theorem 4.28 that R(ε) exists for all ε > ...
95
Common Space Embedding of Primal Dual Relation Semantic Spaces
... semantic space of linking expressions independently of entity pairs which they ...semantic space of entity pairs by using paths in these knowledge graphs, regardless of their textual occurrences with ...
12
On category of co-coverings
... Abstract. In this article, we introduce the concept of co-covering which is the dual of covering concept. Then, we prove several the- orems being similar to the theorems that have been developed for the covering ...
7
Fabrication and Classification of Dual-Matrix Composites for Deployable Space Applications.
... stopped at 90° because past that point the weight of the fixture starts to influence the bending and force measurements. The undeformed gauge length of the mounted sample was 50 mm for each coupon. During the testing, ...
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