The closeness of almost multiplicative linear functionals with multiplicative linear functionals in commutative Banach algebras

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Ershad Fariba

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2021 | Volume:6 | Issue:28 Page(s): 121-125

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Title

The closeness of almost multiplicative linear functionals with multiplicative linear functionals in commutative Banach algebras

Author(s)

Ershad Fariba | Issue Writer Certificate

Keywords

Banach algebras

Multiplicative linear functional

Almost multiplicative linear functional

Cartesian product

Sequential space

Abstract

In this paper we will give the definition of almost Multiplicative linear functionals on commutative Banach algebras and investigate the closeness of these linear functionals with Multiplicative linear functionals (AMNM property). َSeveral Banach algebra has this property, but not all of them. Due to relationship between the spectrum of an element of a complex Banach algebra and Multiplicative linear functionals. Thus this investigation about almost Multiplicative linear functionals give us some information about the spectrum of an element of a Banach algebra. In this paper We will give a very helpful theorem, for this investigation. Also we will show that, if in two commutative Banach algebras A and B, near any almost Multiplicative linear functional, there is a Multiplicative linear functional, then A×B also has this property and vice versa. We investigate this property for finite product of commutative Banach algebras. Also we will refer to some of the Sequential spaces.

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APA: Copy

Ershad, Fariba. (2021). The closeness of almost multiplicative linear functionals with multiplicative linear functionals in commutative Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(28 ), 121-125. SID. https://sid.ir/paper/951832/en

Vancouver: Copy

Ershad Fariba. The closeness of almost multiplicative linear functionals with multiplicative linear functionals in commutative Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;6(28 ):121-125. Available from: https://sid.ir/paper/951832/en

IEEE: Copy

Fariba Ershad, “The closeness of almost multiplicative linear functionals with multiplicative linear functionals in commutative Banach algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 28 , pp. 121–125, 2021, [Online]. Available: https://sid.ir/paper/951832/en

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