p Dissipative Operator |
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| Authors: | Lixin Tian Zengrong Liu |
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| Institution: | Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212013, P.R. China. E-mail: tianlx@jsust.edu.cn, CN
Department of Mathematics, Shanghai University, Shanghai, 201800, and LNM, Institute of Mechanics, Academia Sinica, 100080, P.R. China, CN
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| Abstract: | In this paper the authors prove that the generalized positive p selfadjoint (GPpS) operators in Banach space satisfy the generalized Schwarz inequality, solve the maximal dissipative extension representation of pp dissipative operators in Banach space by using the inequality and introducing the generalized indefinite inner product (GIIP) space, and apply the result to a certain type of Schrödinger operator. |
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