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This document is a degree project report on the spectrum of shift operators in Hilbert spaces. Specifically, it: 1) Introduces shift operators and defines the unilateral and bilateral forward shifts in Hilbert spaces. 2) Provides background on Hilbert spaces, bounded linear operators, adjoints, and spectra of operators. 3) Proves claims about the spectra of various shift operators, including the unilateral forward/backward shifts, weighted unilateral shifts, weighted bilateral shifts, and shifts with a

Author

Ramanipriya MAHALINGAM

Language

EN