On the approximate solutions of linear equations in the -space
Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Bishwambhar Roy (2013)
Mathematica Bohemica
Similarity:
In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation...
N. Ergun, T. Noiri (1990)
Matematički Vesnik
Similarity:
Ioana Ghenciu (2012)
Colloquium Mathematicae
Similarity:
Let (Ω,Σ,μ) be a probability space, X a Banach space, and L₁(μ,X) the Banach space of Bochner integrable functions f:Ω → X. Let W = f ∈ L₁(μ,X): for a.e. ω ∈ Ω, ||f(ω)|| ≤ 1. In this paper we characterize the weakly precompact subsets of L₁(μ,X). We prove that a bounded subset A of L₁(μ,X) is weakly precompact if and only if A is uniformly integrable and for any sequence (fₙ) in A, there exists a sequence (gₙ) with for each n such that for a.e. ω ∈ Ω, the sequence (gₙ(ω)) is weakly...
Pablo Jiménez-Rodríguez (2017)
Open Mathematics
Similarity:
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
Similarity:
Walden Freedman (1997)
Studia Mathematica
Similarity:
An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that -direct sums of spaces with DP1 have DP1 if 1 ≤ p < ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.
Joanna Raczek (2008)
Discussiones Mathematicae Graph Theory
Similarity:
A set D of vertices in a graph G = (V,E) is a weakly connected dominating set of G if D is dominating in G and the subgraph weakly induced by D is connected. The weakly connected domination number of G is the minimum cardinality of a weakly connected dominating set of G. The weakly connected domination subdivision number of a connected graph G is the minimum number of edges that must be subdivided (where each egde can be subdivided at most once) in order to increase the weakly connected...
F. Delbaen (1977-1978)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Similarity:
Bombal, Fernando (1988)
Portugaliae mathematica
Similarity:
Donal O'Regan (2000)
Archivum Mathematicum
Similarity:
A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.