2009•Journal of Hebei Normal University of Science & TechnologyRequires access
Some Properties of Deduced Operator on Quotient Space by a Linear Operator
Lili Fan
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Abstract
In this paper,it is proved that the operator deduced on the quotient space moduled by the kernel of a linear operator f preserves the boundedness and closedness of f,and that the operator T:X/X0→X/f(X0) deduced by a surjective linear operator f on a Banach space preserves the compactness of f and T is homeomorphic if f is isomorphic.