Some fixed points preserver

Subject Areas : Statistics

A. Taghavi ¹ , R. Hosseinzadeh ²

1 - Department of Mathematical Sciences, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2 - Department of Mathematical Sciences, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Corresponding author

Received: 2015-09-18 Accepted : 2016-12-18 Published : 2016-02-01

Keywords: مسایل نگهدارنده, جبر عملگرها, نقطه ثابت,

Abstract :

Let B(X) and M (F) n be the algebra of all bounded linear operators on a complex Banachspace X with dimX 3 and the algebra of all n n matrices over a field F with char F  2 ,respectively. Also let F(A) be the space of all fixed points of an operator AB(X) . In thispaper, we characterize the forms of linear maps  :B(X)B(X) which satisfyF(A) = 0F( (A)) = 0 and linear maps :M (F) M (F) n n   which preserve the fixedpoints of matrices

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