7334-Operator Theory (Spring 2015)

MATH 7334
Instructor: Jean Bellissard
Professor of Mathematics and Physics
School of Math, Skiles 132,
Phone: (404) 385-2179 (Math),
Fax: (404) 894-4409
e-mail: jeanbel@math.gatech.edu
Lecture Skiles 271 Tuesday- Thursday 3:05-4:25pm
Office Hours
by appointment
Skiles 132

Calendar of the Week

(to full Fall calendar )
Final Exam:
Memoir should be turned in before April 28th, 2015
at 2:30pm

March 21st, 2015
Lecture Extension of Positive Operators

March 23rd, 2015
Lecture Analytic Vectors

Course Outline

Examples of unbounded operators and spectral problems
Basic properties Hilbert spaces, basis, examples, Fourier expansions,
Linear operators, definition, domain, properties
Bounded operators, classes of operators
Unbounded selfadjoint operators, defect indices, selfadjoint extensions, cores
One-parameter unitary groups, characterization of their generator,
Spectral Theory, spectral measures,


Recommanded textbook
   William G. Faris,
     "Selfadjoint Operators",
      Lecture Notes in Mathematics, 433
      Springer, 1975

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Homeworks will be offered on demand
Each homework will be graded.

Final Exam

Tuesday April 28th,   11:30-2:20pm    Skiles 271
The final exam might be replaced by an individual projects to evaluate the work of students.

An absence to the final exam will be graded 0 (zero). However if the absence is justified (disease, injury, ...), the student must (i) warn the instructor as soon as possible, in any case before the end of the exam week, (ii) bring the documents justifying the absence to the Instructor.
Then the student will receive an I (incomplete) and will be responsible to take action during the following semester to complete his/her curriculum.


90% for an A
Grade distribution 80% for a   B
70% for a   C
60% for a   D

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