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Functional AnalysisQuestions & AnswersThis is questionnaire & Answer that covers after 40th lectures in the module and could be attempted after listening to 40th lectures.528 kb

Sl.No Chapter Name English
1Metric Spaces with ExamplesPDF unavailable
2Holder Inequality and Minkowski InequalityPDF unavailable
3Various Concepts in a Metric SpacePDF unavailable
4Separable Metrics Spaces with ExamplesPDF unavailable
5Convergence, Cauchy Sequence, CompletenessPDF unavailable
6Examples of Complete and Incomplete Metric SpacesPDF unavailable
7Completion of Metric Spaces + TutorialPDF unavailable
8Vector Spaces with ExamplesPDF unavailable
9Normed Spaces with ExamplesPDF unavailable
10Banach Spaces and Schauder BasicPDF unavailable
11Finite Dimensional Normed Spaces and SubspacesPDF unavailable
12Compactness of Metric/Normed SpacesPDF unavailable
13Linear Operators-definition and ExamplesPDF unavailable
14Bounded Linear Operators in a Normed SpacePDF unavailable
15Bounded Linear Functionals in a Normed SpacePDF unavailable
16Concept of Algebraic Dual and Reflexive SpacePDF unavailable
17Dual Basis & Algebraic Reflexive SpacePDF unavailable
18Dual Spaces with ExamplesPDF unavailable
19Tutorial - IPDF unavailable
20Tutorial - IIPDF unavailable
21Inner Product & Hilbert SpacePDF unavailable
22Further Properties of Inner Product SpacesPDF unavailable
23Projection Theorem, Orthonormal Sets and SequencesPDF unavailable
24Representation of Functionals on a Hilbert SpacesPDF unavailable
25Hilbert Adjoint OperatorPDF unavailable
26Self Adjoint, Unitary & Normal OperatorsPDF unavailable
27Tutorial - IIIPDF unavailable
28Annihilator in an IPSPDF unavailable
29Total Orthonormal Sets And SequencesPDF unavailable
30Partially Ordered Set and Zorns LemmaPDF unavailable
31Hahn Banach Theorem for Real Vector SpacesPDF unavailable
32Hahn Banach Theorem for Complex V.S. & Normed SpacesPDF unavailable
33Baires Category & Uniform Boundedness TheoremsPDF unavailable
34Open Mapping TheoremPDF unavailable
35Closed Graph TheoremPDF unavailable
36Adjoint OperatorPDF unavailable
37Strong and Weak ConvergencePDF unavailable
38Convergence of Sequence of Operators and FunctionalsPDF unavailable
39LP - SpacePDF unavailable
40 LP - Space (Contd.)PDF unavailable

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