مشخصات پژوهش

صفحه نخست /Maps Completely Preserving ...
عنوان Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها completely preserver problem, standard operator algebra, fixed point.
چکیده Let A and B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism. B be standard operator algebras on Banach spaces X and Y , respectively. In this paper, we show that every map completely preserving the fixed points property from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism. Also we show that every map completely preserving the kernel of operators from A onto B is a scalar multiple of either an isomorphism or (in the complex case) a conjugate isomorphism.
پژوهشگران علی تقوی (نفر سوم)، ایلناز شریفی (نفر دوم)، روجا حسین زاده (نفر اول)