Results 21 to 30 of about 313,988 (307)
Projections in the spaces of bounded linear operations [PDF]
Pacific Journal of Mathematics, 1974 For Banach spaces X, Z, let B(X, Z) denote the space of bounded linear operators from X into Z and K(X, Z) (resp. W(X, Z)) the subspace of compact (resp. weakly compact) operators. It is shown that (a) if X contains an isomorph of Co, then K(X, Γ) is not complemented in B(X, Γ), (b) if S is a compact Hausdorff space which is not scattered, then K(C(S),
openaire +4 more sources
Iterative Schemes Involving Several Mutual Contractions
Mathematics, 2023 In this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more ...
María A. Navascués +3 more
doaj +1 more source
Linear operators on Köthe spaces of vector fields
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 The study of Köthe spaces of vector fields was initiated by the present authors. In this paper linear operators on these spaces are studied. An integral representation theorem is given and special types of linear operators are introduced and studied.
Chiţescu Ion, Sireţchi Liliana
doaj +1 more source
2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces
Abstract and Applied Analysis, 2014 Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, if X is approximately compact and X is 2-strictly convex, then metric generalized inverses of ...
Shaoqiang Shang, Yunan Cui
doaj +1 more source
Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
Journal of Function Spaces, 2014 We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
doaj +1 more source
Boundary-chaotic behaviour of continuous functions under the action of operators [PDF]
, 2003 In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary.
Bernal González, Luis +1 more
core +2 more sources
n-Reflexivity for linear spaces of operators [PDF]
Glasgow Mathematical Journal, 1998 AbstractWe discuss the relationship between then-reflexivity of a linear sub-spaceSinB(H), property (A1/n), ClassCoand strictlyn-separating vectors. We also show that every algebraic operator with property (A2) is hyperreflexive.
openaire +1 more source
On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces [PDF]
, 2018 In this work, generalizations of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.Comment: 12 pages.
Alomari, Mohammad W.
core +3 more sources
Semigroups of Unbounded Linear Operators in Banach Space [PDF]
Transactions of the American Mathematical Society, 1977 One-parameter families of unbounded linear operators acting in a Banach space X, and satisfying the semigroup and strong continuity properties on a suitable subspace of X, are discussed; the notion of infinitesimal generator is generalized to this unbounded setting, and a HilleYosida-type theorem is proved. The theory is illustrated by several examples,
openaire +2 more sources
Cubic Pythagorean Hesitant Fuzzy Linear Spaces and Its Relevance in Multi Criteria Decision Making
International Journal of Analysis and Applications, 2023 Pythagorean fuzzy sets and interval valued Pythagorean fuzzy sets have an important role in decision making techniques. Pythagorean hesitant fuzzy sets are time and again used in dealing with uncertain and vague data.
Gundeti Soujanya +2 more
doaj +1 more source