11 Relatively P-Triangular Operators
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This chapter is devoted to operators of the type A=D+W, where D is a normal boundedly invertible operator in a separable Hilbert space H, and W has the following property: V:=D-1W is a Volterra operator in H. If, in addition, A has a maximal resolutions of the identity, then it is called a relatively P-triangular operator. Below we derive estimates for the resolvents of various relatively P-triangular operators and investigate spectrum perturbations of such operators.
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