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Syllabus
Course
Code:
Math 535
Subject:
Mathematics
Topic:
Functional Analysis
Views:
53,489
Educator
Name:
University of Colorado, Colorado Springs (UCCS)
Type:
University
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Applied Functional Analysis
Video Lectures
Displaying all 29 video lectures.
Lecture 1
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Spaces
Lecture 2
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Normal Spaces
Lecture 3
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Sequence Space
Lecture 4
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Finite Dimensional Space
Lecture 5
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Finite Dimensional Normal Space
Lecture 6
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Norm of a Linear Operator
Lecture 7
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Dual Basis
Lecture 8
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The Space of Bounded Linear Operators (Functionals)
Lecture 9
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Inner Product Space
Lecture 10
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Minimizing Vector
Lecture 11
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Orthonormal Sequences and Sets
Lecture 12
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Fourier Series
Lecture 13
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Parseval Relationship
Lecture 14
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Riesz Representation Theorem
Lecture 15
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Sesquilinear Forms
Lecture 16
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Hamel Basis of a Vector Space
Lecture 17
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Sublinear Functions
Lecture 18
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Hahn-Banach Theorem
Lecture 19
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Complex Linearity
Lecture 20
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Application of Hahn-Banach Theorem
Lecture 21
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Bounded Variations
Lecture 22
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Reflexive Spaces
Lecture 23
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Category Theorem
Lecture 24
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Uniform Boundedness Theorem
Lecture 25
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Weak Convergence
Lecture 26
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Weak Convergence II
Lecture 27
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Closed Operators
Lecture 28
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Spectral Theory in Finite Dimension
Lecture 29
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Spectral Theory
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Subject: Mathematics
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Applied Functional Analysis