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Some spectral properties ofm-accretive differential operators
Authors:Mahmoud -Sabry Saif
Institution:(1) Dept. of Mathematics, Faculty of Science, King Abdulaziz University, P.O.B. 9028, Jeddah, Saudi Arabia;(2) Present address: Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Abstract:Form-accretive operatorT=T 0+q compactness of its resolventR(z, T), zisinP(T) and ofR(z, T)–R(z, T 0),zisinP(T)capP(T 0) under suitable assumptions onT 0 and their perturbationq is established. This result is used in the study of spectral properties ofT andT 0.
Keywords:
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