【摘 要】
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Let X be an infinite-dimensional real or complex Banach space,and B(X) the Banach algebra of all bounded linear operators on X.In this paper,given any non-negative integer n,we characterize the surjective additive maps on B(X) preserving Fredholm operator
【机 构】
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School of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710119,China
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Let X be an infinite-dimensional real or complex Banach space,and B(X) the Banach algebra of all bounded linear operators on X.In this paper,given any non-negative integer n,we characterize the surjective additive maps on B(X) preserving Fredholm operators with fixed nullity or defect equal to n in both directions,and describe completely the structure of these maps.
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