
Course Outline

Topics 
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 
Oneparameter unitary groups, characterization of their generator,

Spectral Theory, spectral measures,



Textbook

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

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


Final Exam

Tuesday April 28th, 11:302:20pm
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.


Grades




90% for an A 


Grade distribution 
80% for a B 



70% for a C 



60% for a D 
