Introduction to functional analysis
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Algebra
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Analysis I (18.100); Linear Algebra (18.06), Linear Algebra (18.700), or Algebra I (18.701)
The course will be in three approximately equal parts (so about 4 weeks each).
Grades will be computed by two methods — the cumulative and the hope-springs-eternal method with the actual grade the greater of the two.
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Introduction to functional analysis