Li Yuan
Abstract
The finite and compact perturbations of left(right)spectrum of 2×2 upper triangular operator matrix S_C are studied,where S_C:=(A C O B)is an operator acting on the Hilbert space H■K.Let perturbation of left(right)spectrum of operator matrix Mx is considered under the condition in which C is a compact operator.
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The finite and compact perturbations of left(right)spectrum of 2×2 upper triangular operator matrix S_C are studied,where S_C:=(A C O B)is an operator acting on the Hilbert space H■K.Let perturbation of left(right)spectrum of operator matrix Mx is considered under the condition in which C is a compact operator.
Key concepts: Operator matrix, Mathematics, Spectrum (functional analysis), Compact operator, Triangular matrix, Operator (biology), Quasinormal operator, Finite-rank operator