Liu Lv-yan
Abstract
Let H be complex Hilbert spaces.P(λ)=λmAm+λm-1Am-1+…+A0 is operator polynomial of order m,where Ai∈B(H),i = 0,1,…,m,Am≠0.The Spectrum of operator polynomial P(λ) is studied by using matrix norm,matrix singular value,and the theory of non-negative matrix.
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Let H be complex Hilbert spaces.P(λ)=λmAm+λm-1Am-1+…+A0 is operator polynomial of order m,where Ai∈B(H),i = 0,1,…,m,Am≠0.The Spectrum of operator polynomial P(λ) is studied by using matrix norm,matrix singular value,and the theory of non-negative matrix.
Key concepts: Mathematics, Spectrum (functional analysis), Operator matrix, Matrix polynomial, Polynomial matrix, Singular value, Operator (biology), Polynomial