SOME FIXED POINTS PRESERVER

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TAGHAVI A.; HOSSEINZADEH R.

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2016 | Volume:1 | Issue:4 Page(s): 163-167

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Title

SOME FIXED POINTS PRESERVER

Author(s)

TAGHAVI A. | HOSSEINZADEH R. | Issue Writer Certificate

Keywords

PRESERVER PROBLEM

OPERATOR ALGEBRA

FIXED POINT

Abstract

Let B(X) and Mn (F) be the algebra of all bounded linear operators on a complex Banach space X with dimX³3 and the algebra of all n×n matrices over a field F with F¹2, respectively. Also let F(A)be the space of all FIXED POINTs of an operator AÎB(X). In this paper, we characterize the forms of linear maps f:B(X)®B(X) which satisfy F(A)=0ÛF(f(A))=0 and linear maps f: Mn(F)® Mn(F) which preserve the FIXED POINTs of matrices.

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References

MAPS PRESERVING THE FIXED POINTS OF SUM OF OPERATORS

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APA: Copy

TAGHAVI, A., & HOSSEINZADEH, R.. (2016). SOME FIXED POINTS PRESERVER. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 1(4), 163-167. SID. https://sid.ir/paper/686364/en

Vancouver: Copy

TAGHAVI A., HOSSEINZADEH R.. SOME FIXED POINTS PRESERVER. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2016;1(4):163-167. Available from: https://sid.ir/paper/686364/en

IEEE: Copy

A. TAGHAVI, and R. HOSSEINZADEH, “SOME FIXED POINTS PRESERVER,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 1, no. 4, pp. 163–167, 2016, [Online]. Available: https://sid.ir/paper/686364/en

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