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Course Descriptions

16:640:507 - Functional Analysis I

Haim Brezis/YanYan Li


Haim Brezis "Functional Analysis, Soblolev Spaces and PDE's" Springer


Real Analysis


Sobolev spaces and the variational formulation of boundary value problems in one dimension. The Hahn-Banach theorems. Conjugate convex functions. The uniform boundedness principle and the closed graph theorem. Characterization of surjective operators. Weak topologies. Reflexive spaces. Separable spaces. Uniform convexity. L^{p} spaces. Hilbert spaces. Compact operators. Spectral decomposition of self-adjoint compact operators. 

Sections Taught This Semester:

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Department of Mathematics

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Rutgers University
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