Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5470
Title: Spectral Theory of Normal Operators
Authors: Das, Biplab
Keywords: Spectral Theory
Normal Operators
Issue Date: May-2023
Publisher: IISER Mohali
Abstract: We discuss the spectral theory of bounded normal operators on Hilbert Space and functional cal- culus, as well as the Gelfand-Neimark-Segal construction of C ⇤ -algebras, also discuss symmetric extensions of unbounded operators. We begin by introducing the spectral theory for compact self-adjoint operators and then extend it to compact normal operators. We also discuss the idea of the spectrum for Banach algebras and explores complex analysis for operator-valued functions, including integration and Cauchy integral formula. Finally, we discuss the concept of unbounded operators and provides the idea of symmetric self-adjoint extensions of closed symmetric unbounded operators
URI: http://hdl.handle.net/123456789/5470
Appears in Collections:MP-20

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