scholarly journals Wiener weighted algebra of functions of infinitely many variables

2015 ◽  
Vol 7 (1) ◽  
pp. 3-5
Author(s):  
L. Atamanyuk
Keyword(s):  
Banach Algebra ◽  
Algebra Of Functions ◽  
Weighted Algebra ◽  
Wiener Type

In this article we consider a weighted Wiener type Banach algebra of functions of infinitely many variables. The main result is a description of the spectrum of this algebra.

Ideals in Rings of Analytic Functions with Smooth Boundary Values

1970 ◽  
Vol 22 (6) ◽  
pp. 1266-1283 ◽  
Author(s):  
B. A. Taylor ◽  
D. L. Williams
Keyword(s):  
Banach Algebra ◽  
Unit Disc ◽  
Smooth Boundary ◽  
Topological Algebra ◽  
Boundary Function ◽  
Open Unit ◽  
Boundary Values ◽  
Open Unit Disc ◽  
Algebra Of Functions ◽  
Derivatives Of

LetAdenote the Banach algebra of functions analytic in the open unit discDand continuous in. Iffand its firstmderivatives belong toA,then the boundary functionf(eiθ)belongs toCm(∂D). The spaceAmof all such functions is a Banach algebra with the topology induced byCm(∂D).If all the derivatives of/ belong toA,then the boundary function belongs toC∞(∂D), and the spaceA∞all such functions is a topological algebra with the topology induced byC∞(∂D). In this paper we determine the structure of the closed ideals ofA∞(Theorem 5.3).Beurling and Rudin (see e.g. [7, pp. 82-89;10]) have characterized the closed ideals ofA, and their solution suggests a possible structure for the closed ideals ofA∞.

scholarly journals Ternary Weighted Function and Beurling Ternary Banach Algebral1ω(S)

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Mehdi Dehghanian ◽  
Mohammad Sadegh Modarres Mosadegh
Keyword(s):  
Weight Function ◽  
Banach Algebra ◽  
Weighted Function ◽  
Weighted Algebra ◽  
Ternary Semigroup

LetSbe a ternary semigroup. In this paper, we introduce our notation and prove some elementary properties of a ternary weight functionωonS. Also, we make ternary weighted algebral1ω(S)and show thatl1ω(S)is a ternary Banach algebra.

On Wiener type Banach algebra

2003 ◽  
Vol 46 (2) ◽  
pp. 207 ◽  
Author(s):  
Junyun HU
Keyword(s):  
Banach Algebra ◽  
Wiener Type
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