Results 1 to 10 of about 4,519,740 (175)
Weakly Symmetric Functions on Spaces of Lebesgue Integrable Functions
In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space.
T V Vasylyshyn
exaly +5 more sources
Weakly Ricci-Symmetric Space-Times and f (R,G) Gravity
In the present article, we classify conformally flat weakly Ricci-symmetric space-times and obtain that they represent Robertson–Walker space-times. Furthermore, we provethat a Ricci-recurrent weakly Ricci-symmetric space-time is static and a Ricci-semi ...
Yanlin Li, Uday Chand De, Krishnendu De
doaj +3 more sources
We study the space of continuous linear functionals approximated by weakly symmetric continuous linear functionals on the complex Banach space ℓ1 of all absolutely summing complex sequences. We construct the sequence of groups of symmetries on ℓ1, obtain the structure of corresponding weakly symmetric continuous linear functionals, find the completion ...
Taras Vasylyshyn, Andriy Zagorodnyuk
exaly +4 more sources
A New Class of Weakly Symmetric Spaces
A Riemannian manifold \(M\) is called weakly symmetric if any two points \(x,y \in M\) can be interchanged by an isometry. The authors prove that a simply connected Riemannian manifold \(M\) is weakly symmetric if it admits a complete unit Killing vector field \(X\) such that the reflections with respect to the flow lines of \(X\) can be extended to ...
L Vanhecke
exaly +3 more sources
New Examples of Weakly Symmetric Spaces
A weakly symmetric space has been defined first by A. Selberg. According to an alternative definition, this is a Riemannian manifold such that, for every pair of points \(p\) and \(q\), there exists an isometry of this manifold interchanging \(p\) and \(q\).
L Vanhecke
exaly +2 more sources
Algebras of Weakly Symmetric Functions on Spaces of Lebesgue Measurable Functions
In this work, we investigate algebras of block-symmetric and weakly symmetric polynomials and analytic functions on complex Banach spaces of Lebesgue measurable functions, for which the $p$th power of the absolute value is Lebesgue integrable, where $p\in[1,+\infty),$ and Lebesgue measurable essentially bounded functions on $[0,1].$ We construct ...
T V Vasylyshyn
exaly +2 more sources
The work is devoted to the study of block-symmetric and weakly symmetric continuous polynomials on the Banach space $\ell_p^{ (\mathbb{K}) }$ of all sequences $x = (x_1, x_2, \ldots)$ with $x_j \in \mathbb{K}$ for $j\in\mathbb{N}$ such that the series $\
A. I. Bandura +2 more
doaj +2 more sources
Compact Weakly Symmetric Spaces and Spherical Pairs [PDF]
Let ( G , H ) (G,H)
exaly +3 more sources
Common Fixed Point Theorems for Weakly Compatible Mappings in Symmetric Spaces
In this paper some common fixed point theorem has been established by using weakly compatible mappings and E.A property which improves and extends similar known results in the literature.Key words: Symmetric spaces, common fixed points, weakly compatible mappings.2010 AMS SUBJECT CLASSIFICATION CODE : 54H25 ...
exaly +2 more sources
Automorphism groups of some families of bipartite graphs
This paper discusses the automorphism group of a class of weakly semiregular bipartite graphs and its subclass called WSBEND graphs. It also tries to analyse the automorphism group of the SM sum graphs and SM balancing graphs.
K.G. Sreekumar, K. Manilal
doaj +1 more source

