p dissipative operator

In this paper the authors prove that the generalized positive p selfadjoint (GPpS) operators in Banach space satisfy the generalized Schwarz inequalit y, solve the maximal dissipative extension representation of p dissipative operators in Banach space by using the inequality and introducing the gener alized indefinite inner product (GIIP) space, and apply the result to a cer tain type of Schrodinger operator.