Define Eigen Spectrum of a bounded linear operator on a Banach space. Show that the eigen spectrum of the operator T on  l² given by ) (T ,......... ) =  is empty .

Word Count : 257

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The eigen spectrum of a bounded linear operator on a Banach space is a set of complex numbers consisting of all possible eigenvalues of the operator, each with its associated algebraic and geometric multiplicities. The eigenvalues represent scalar values λ such that __________ ______ ____ _____ ____ _____________ ______ __ __ __________.
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Degree : MASTER DEGREE PROGRAMMES
Course Name : M.Sc. Mathematics with Applications in Computer Science
Course Code : MSCMACS
Subject Name : Functional Analysis
Subject Code : MMT 6
Year : 2023