7334 Operator Theory (Spring 2015)
Calendar
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January 68:
ODE's andPDE's on a Hilbert Space ,

January 1315:
Linear Operators (bounded or not)

January 2022:
Quadratic Forms, Spectrum of Selfadjoint Operators,

January 2729:
Unitary Groups, Convolution, Generators and Selfadoint Operators

February 35:
External Instructor

February 1012:
Borel Measures, Integration of Continuous Functions

February 1719:
Integration of Measurable Functions, The Riesz Representation Theorem

February 2426:
The Riesz Representation Theorem, Spectral Measure

March 35:
Spectral Measure and Reconstruction, Operator Point of View

March 1012:
Spectral Theorem: Representation of Cc(R), Projection Valued Measures

March 1719:
Spring Break

March 2426:
Quadratic Forms, Examples, Laplaceans

March 31April 2:
Quadratic Forms, Examples, Laplaceans, Sobolev's Inequality

April 79:
Selfadjoint Extensions, Defects Indices, Classification

April 1416:
Friedrichs Extension, Extensions of Positive Hermitian Operators

April 2123:
Analytic Vectors, Essential Selfadjointness.

Final Exam:
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Tuesday April 28th, 11:30am2:20pm Skiles 271
Program
Submit a Memoir of at least 15 pages on a topic of student's choice related to the contend of the course.
Due date: Tuesday April 28th, 2015, at 2:20pm