MAT 522 - Hilbert Spaces and Spectral Theory

Institution:

University of North Carolina at Greensboro

Subject:

Description:

Pr. grade of at least C in MAT 395 Vector-spaces: basis, dimension, Hilbert spaces; pre-Hilbert spaces, norms, metrics, orthogonality, infinite sums. Linear subspaces; annihilators, closed and complete subspaces, convex sets. Continuous linear mappings; normed spaces. Banach spaces, Banach algebras, dual spaces. Reisz-Frechet theorem. Completion. Bilinear and seaquilinear maps. Adjoints. Operators in Hilbert space: isometric, unitary, self-adjoint, projection, and normal operations. Invariant subspaces. Continuous operators. Special theorems for a normal co-operator.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Multiple

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.uncg.edu

Phone Number:

(336) 334-5000

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Semester

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