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Baires Category & Uniform Boundedness Theorems
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Classroom Contents
Functional Analysis
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- 1 Hilbert Adjoint Operator
- 2 Self adjoint, Unitary and Normal operators
- 3 Tutorial - III
- 4 Annihilator in an IPS
- 5 Total Orthonormal Sets and Sequences
- 6 Partially Ordered Set and Zorns Lemma
- 7 Hahn Banach Theorem for Real Vector Spaces
- 8 Hahn Banach Theorem for Complex V.S. & Normed Spaces
- 9 Baires Category & Uniform Boundedness Theorems
- 10 Open Mapping Theorem
- 11 Closed Graph Theorem
- 12 Adjoint operator
- 13 Strong and Weak Convergence
- 14 S30 2074
- 15 LP - Space
- 16 LP - space (contd.)
- 17 Completion of Metric Spaces + Tutorial
- 18 Examples of Complete and Incomplete Metric Spaces
- 19 Holder inequality and Minkowski Inequality
- 20 Convergence, Cauchy Sequence, Completeness
- 21 Metric Spaces with Examples
- 22 Separable Metrics Spaces with Examples
- 23 Banach Spaces and Schauder Basic
- 24 Normed Spaces with Examples
- 25 Vector Spaces with Examples
- 26 Various Concepts in a Metric Space
- 27 Bounded Linear Operators in a Normed Space
- 28 Linear Operators - Definitions and Examples
- 29 Compactness of Metric/Normed Spaces
- 30 Finite Dimensional Normed Spaces and Subspaces
- 31 Concept of Algebraic Dual and Reflexive Space
- 32 Bounded Linear Functionals in a Normed Space
- 33 Tutorial - II
- 34 Representation of Functionals on a Hilbert Spaces
- 35 Tutorial - I
- 36 Projection theorem, Orthonormal Sets and Sequences
- 37 Dual Spaces with Examples
- 38 Dual Basis & Algebraic Reflexive Space
- 39 Further properties of inner Product Spaces
- 40 Inner product & Hilbert space
