7334- Operator Theory (Spring 2015)
Calendar
(return to main page
to calendar of the week
)
-
January 6-8:
ODE's andPDE's on a Hilbert Space ,
-
January 13-15:
Linear Operators (bounded or not)
-
January 20-22:
Quadratic Forms, Spectrum of Selfadjoint Operators,
-
January 27-29:
Unitary Groups, Convolution, Generators and Selfadoint Operators
-
February 3-5:
External Instructor
-
February 10-12:
Borel Measures, Integration of Continuous Functions
-
February 17-19:
Integration of Measurable Functions, The Riesz Representation Theorem
-
February 24-26:
The Riesz Representation Theorem, Spectral Measure
-
March 3-5:
Spectral Measure and Reconstruction, Operator Point of View
-
March 10-12:
Spectral Theorem: Representation of Cc(R), Projection Valued Measures
-
March 17-19:
Spring Break
-
March 24-26:
Quadratic Forms, Examples, Laplaceans
-
March 31-April 2:
Quadratic Forms, Examples, Laplaceans, Sobolev's Inequality
-
April 7-9:
Selfadjoint Extensions, Defects Indices, Classification
-
April 14-16:
Friedrichs Extension, Extensions of Positive Hermitian Operators
-
April 21-23:
Analytic Vectors, Essential Selfadjointness.
-
Final Exam:
(
to main page)
Tuesday April 28th, 11:30am-2:20pm 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