scholarly journals Closure operators in semiuniform convergence spaces

Filomat ◽  
2016 ◽  
Vol 30 (1) ◽  
pp. 131-140 ◽  
Author(s):  
Mehmet Baran ◽  
Sumeyye Kula ◽  
T.M. Baran ◽  
M. Qasim
Keyword(s):  
Closure Operators ◽  
Basic Properties ◽  
Convergence Spaces

In this paper, the characterization of closed and strongly closed subobjects of an object in category of semiuniform convergence spaces is given and it is shown that they induce a notion of closure which enjoy the basic properties like idempotency,(weak) hereditariness, and productivity in the category of semiuniform convergence spaces. Furthermore, T1 semiuniform convergence spaces with respect to these two new closure operators are characterized.

scholarly journals Normal Toeplitz Operators on the Bergman Space

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1463
Author(s):  
Sumin Kim ◽  
Jongrak Lee
Keyword(s):  
Toeplitz Operator ◽  
Bergman Space ◽  
Toeplitz Operators ◽  
Basic Properties

In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic symbols φ. Finally, we characterize the normal Toeplitz operators Tφ with non-harmonic symbols acting on A2(D).

Infrared spectroscopic characterization of basic properties: Nitromethane as probe molecule

2010 ◽  
Vol 330 (1-2) ◽  
pp. 88-93 ◽  
Author(s):  
Ruth L. Martins ◽  
Claudia de O. Veloso ◽  
Claudio A. Mota ◽  
Martin Schmal
Keyword(s):  
Spectroscopic Characterization ◽  
Probe Molecule ◽  
Basic Properties ◽  
Infrared Spectroscopic

Microstructure and Basic Properties of Domestic Butyl Rubber 1751

2014 ◽  
Vol 912-914 ◽  
pp. 235-242
Author(s):  
Nai Xiu Ding ◽  
Pei Yan Zuo ◽  
Yi Jia ◽  
Li Li Wang ◽  
Hai Tao Wang
Keyword(s):  
Molecular Mass ◽  
Gel Permeation Chromatography ◽  
Mechanical Analysis ◽  
Volatile Matter ◽  
Matter Content ◽  
Butyl Rubber ◽  
Gravimetric Analysis ◽  
Average Molecular Mass ◽  
Basic Properties

The characterization of microstructure and basic properties of domestic butyl rubber 1751 ( IIR 1751) was performed with different testing , such as 1H-NMR spectrum, gel permeation chromatography, dynamic mechanical analysis, thermal gravimetric analysis and differential scanning calorimeter. And the comparison with Butyl 268 and Butyl 301 was made. The results showed that IIR1751 had a narrower molecular mass distribution, lower number-average molecular mass and lower weight-average molecular mass. The unsaturation degree of IIR1751 was close to Butyl 268 and Butyl 301. Its thermal stability was higher than the other and its ash content and volatile matter content was lower. Its glass transition temperature was same to Butyl 268’s, which was slightly higher than the Butyl 301. Dispersion of carbon black in IIR1751 vulcanizates was poor, but IIR1751 vulcanizates had good processing property, had a longer scorch safety period and fast curing rate. Its fatigue performance was good and its mechanical properties can achieve a better balance.

Characterization of matrix Fourier multipliers for A-dilation Parseval multi-wavelet frames

2015 ◽  
Vol 13 (06) ◽  
pp. 1550051
Author(s):  
Yongdong Huang ◽  
Fengjuan Zhu
Keyword(s):  
Fourier Multipliers ◽  
Frame Theory ◽  
Wavelet Frame ◽  
Wavelet Frames ◽  
Integral Matrix ◽  
Numerical Examples ◽  
Basic Properties ◽  
New Formula

Let [Formula: see text] be a [Formula: see text] expansive integral matrix with [Formula: see text]. This paper investigates matrix Fourier multipliers for [Formula: see text]-dilation Parseval multi-wavelet frames, which are [Formula: see text] matrices with [Formula: see text] function entries, map [Formula: see text]-dilation Parseval multi-wavelet frames of length [Formula: see text] to [Formula: see text]-dilation Parseval multi-wavelet frames of length [Formula: see text], where [Formula: see text]. We completely characterize all matrix Fourier multipliers for [Formula: see text]-dilation Parseval multi-wavelet frames and construct several numerical examples. As Fourier wavelet frame multiplier, matrix Fourier multipliers can be used to derive new [Formula: see text]-dilation Parseval multi-wavelet frames and can help us better understand the basic properties of frame theory.

scholarly journals On largest Hausdorff compactification for convergence spaces

1975 ◽  
Vol 12 (1) ◽  
pp. 73-79 ◽  
Author(s):  
C.J.M. Rao
Keyword(s):  
Convergence Spaces ◽  
Hausdorff Compactifications

In this note we obtain a characterization of the class of convergence spaces for which Richardson's compactification is the largest Hausdorff compactification and a characterization of the class of convergence spaces which possess largest Hausdorff compactifications.

Quasi-discriminator varieties

2014 ◽  
Vol 24 (03) ◽  
pp. 375-411 ◽  
Author(s):  
Francesco Paoli ◽  
Antonio Ledda ◽  
Tomasz Kowalski ◽  
Matthew Spinks
Keyword(s):  
Fuzzy Logic ◽  
General Concept ◽  
Discriminator Variety ◽  
Algebraic Characterization ◽  
Basic Properties ◽  
Discriminator Varieties ◽  
Lattice Of Subvarieties

We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator varieties. Finally, we completely describe the lattice of subvarieties of the pure pointed quasi-discriminator variety, providing an explicit equational base for each of its members.

scholarly journals Isometries of a Bergman-Privalov-Type Space on the Unit Ball

2009 ◽  
Vol 2009 ◽  
pp. 1-16 ◽  
Author(s):  
Stevo Stević ◽  
Sei-Ichiro Ueki
Keyword(s):  
Unit Ball ◽  
Holomorphic Functions ◽  
Complete Characterization ◽  
Normalization Constant ◽  
Linear Isometry ◽  
Type Space ◽  
Basic Properties ◽  
Volume Measure ◽  
New Space

We introduce a new spaceANlog⁡,α(&#x1D539;)consisting of all holomorphic functions on the unit ball&#x1D539;⊂ℂnsuch that‖f‖ANlog⁡,α:=∫&#x1D539;φe(ln⁡(1+|f(z)|))dVα(z)<∞, whereα>−1,dVα(z)=cα,n(1−|z|2)αdV(z)(dV(z)is the normalized Lebesgue volume measure on&#x1D539;, andcα,nis a normalization constant, that is,Vα(&#x1D539;)=1), andφe(t)=tln⁡(e+t)fort∈[0,∞). Some basic properties of this space are presented. Among other results we proved thatANlog⁡,α(&#x1D539;)with the metricd(f,g)=‖f−g‖ANlog⁡,αis anF-algebra with respect to pointwise addition and multiplication. We also prove that every linear isometryTofANlog⁡,α(&#x1D539;)into itself has the formTf=c(f∘ψ)for somec∈ℂsuch that|c|=1and someψwhich is a holomorphic self-map of&#x1D539;satisfying a measure-preserving property with respect to the measuredVα. As a consequence of this result we obtain a complete characterization of all linear bijective isometries ofANlog⁡,α(&#x1D539;).

Modes of ideal continuity and the additive property in the Riesz space setting

2014 ◽  
Vol 20 (1) ◽  
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou ◽  
Nikolaos Papanastassiou ◽  
Władysław Wilczyński
Keyword(s):  
Riesz Space ◽  
Ideal Convergence ◽  
Additive Property ◽  
Basic Properties ◽  
Space Setting ◽  
Comparison Results ◽  
Different Types

Abstract.In this paper we present some different types of ideal convergence/divergence and of ideal continuity for Riesz space-valued functions, and prove some basic properties and comparison results. We investigate the relations among different modes of ideal continuity and present a characterization of the (

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