Results 51 to 60 of about 295,574 (222)
The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis
Mathematics, 2015 An account of the Schwartz space of rapidly decreasing functions as a topological vector space with additional special structures is presented in a manner that provides all the essential background ideas for some areas of quantum mechanics along with ...
Jeremy Becnel, Ambar Sengupta
doaj +1 more source
Rosenthal L∞-theorem revisited
Extracta Mathematicae, 2021 A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space.
L. Drewnowski
doaj
Fixed point theorems for some generalized contractive mappings over a locally convex topological vector space [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting ...
Sayantan Panja +2 more
doaj
String In Topological Vector Space [PDF]
, 2013 Introducing the concept of string resulted in a vector space one important step for further Functional Analysis. This made possible the availability of the most important results of this field in other classes spaces.
Dorina GUXHOLLI, Valentina SHEHU
core
New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Abstract and Applied Analysis, 2013 Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for ...
Mahmoud Rawashdeh, Sarah Khalil
doaj +1 more source
Topological Direct Sums of non Convex Barrelled Spaces [PDF]
, 2013 Using the concept of the strings in the vector spaces, is developed a theory relatedto the topological vector spaces (t.v.s).At this point of view, there are some important definitions for the strings and wecan also see their characteristics in the ...
Blerina Boci, Valentina SHEHU
core
Constrained Minimization Under Vector-Valued Criteria in Linear Topological Spaces [PDF]
Constrained minimization under vector valued criteria in linear topological ...
Da Cunha, N. O., Polak, E.
core +1 more source
Vector Measures on Topological Spaces [PDF]
gmj, 2007 Abstract Let 𝑋 be a completely regular Hausdorff space, 𝐸 a quasi-complete locally convex space, 𝐶(𝑋) (resp. 𝐶𝑏(𝑋)) the space of all (resp. all, bounded), scalar-valued continuous functions on 𝑋, and 𝐵(𝑋) and 𝐵0(𝑋) be the classes of Borel and Baire subsets of 𝑋.
openaire +2 more sources
Volume and topological invariants of quantum many-body systems
Physical Review Research, 2020 Quantum many-body systems described by Lagrangian path integrals can realize many different topological phases of matter. One of the most important problems in condensed-matter physics is to extract topological invariants from the Lagrangian and to ...
Xiao-Gang Wen, Zhenghan Wang
doaj +1 more source
Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj +1 more source