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Dec 05, 2025
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MATH 853 - Functional Analysis II
Banach Algebras (spectrum, Gelfand Fourier transform, holomorphic functional calculus); Hilbert spaces (geometric properties, Riesz’s Theorem, projections, the adjoint); functional calculus for normal operators; compact operators (spectral properties, Min-Max Theorem, Schatten-vol Neumann classes); Fredholm operators; other operator topologies on B(H); unbounded self-adjoint operators. Other topics.
Credits: (3)
Requisites
Pr.: MATH 852.
When Offered
Spring, in alternate years
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