scholarly journals On series of functions with the Baire property

2018 ◽  
Vol 5 (1) ◽  
pp. 168-173
Author(s):  
Władysław Wilczyński
Keyword(s):  
Baire Property ◽  
Series Of Functions

scholarly journals CONTINUITY OF MEASURABLE HOMOMORPHISMS

2008 ◽  
Vol 78 (1) ◽  
pp. 171-176 ◽  
Author(s):  
JANUSZ BRZDȨK
Keyword(s):  
Topological Group ◽  
Abelian Group ◽  
Baire Property ◽  
Topological Groups ◽  
Locally Compact ◽  
Compact Topological Group ◽  
Locally Compact Topological Group

AbstractWe give some general results concerning continuity of measurable homomorphisms of topological groups. As a consequence we show that a Christensen measurable homomorphism of a Polish abelian group into a locally compact topological group is continuous. We also obtain similar results for the universally measurable homomorphisms and the homomorphisms that have the Baire property.

Nontrivial solutions of non-autonomous dirichlet fractional discrete problems

2020 ◽  
Vol 23 (4) ◽  
pp. 980-995
Author(s):  
Alberto Cabada ◽  
Nikolay Dimitrov
Keyword(s):  
Existence And Uniqueness ◽  
Point Boundary ◽  
Nontrivial Solutions ◽  
Fractional Difference ◽  
Nonlinear Part ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Fractional Difference Equation ◽  
Discrete Problems ◽  
Series Of Functions

AbstractIn this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.

On Lower and Semi-Lower Density Operators

2007 ◽  
Vol 14 (4) ◽  
pp. 661-671
Author(s):  
Jacek Hejduk ◽  
Anna Loranty
Keyword(s):  
Density Operator ◽  
Baire Property ◽  
Density Operators ◽  
Dense Sets ◽  
Meager Sets ◽  
Algebras Of Sets

Abstract This paper contains some results connected with topologies generated by lower and semi-lower density operators. We show that in some measurable spaces (𝑋, 𝑆, 𝐽) there exists a semi-lower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σ-algebras of sets having the Baire property, associated with the topology generated by a semi-lower density operator.

A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Analysis ◽  
1997 ◽  
Vol 17 (2-3) ◽  
pp. 287-300
Author(s):  
LAWRENCE A. D'ANTONIO ◽  
DANIEL WATERMAN
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Summability Method ◽  
Series Of Functions

Research and Safety Design on the Scientific Research Project Management System Based on J2EE

2015 ◽  
Vol 743 ◽  
pp. 633-640
Author(s):  
Sheng Ju Yang ◽  
Shao Ting Shi ◽  
Jie Meng
Keyword(s):  
Project Management ◽  
Scientific Research ◽  
Fast Response ◽  
Gansu Province ◽  
Research Project ◽  
Project Management System ◽  
Dynamic Propagation ◽  
Scientific Research Project ◽  
J2ee Architecture ◽  
Series Of Functions

Starting from the introduction of the management of scientific research project, and then gives a detailed description based on J2EE architecture, the lightweight composite framework involving Spring, Struts and iBATIS and an iterative method is employed in project management. With a series of functions such as application, recommendation, processing, approval, assessment and management of scientific research project and so on, the system has the characteristics of easy maintenance, dynamic propagation and strong expansibility. Finally the safety of the system is discussed from two perspectives, namely its design and environment. Years’ of application in the management of scientific research project in Gansu Province has proved its good stability, fast response and high safety.

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