'Partially Ordered Set and Zorns Lemma' Video Lecture

Partially Ordered Set and Zorns Lemma

Faculty: Prof. P.D. Srivastava

Partially Ordered Set and Zorns Lemma - Browse through Functional Analysis (Mathematics) Video Lectures by Prof. P.D. Srivastava from IIT Kharagpur through NPTEL.

Course: Functional Analysis

Discipline: Mathematics

Faculty: Prof. P.D. Srivastava

Institute: IIT Kharagpur

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Course Video Lectures Metric Spaces with Examples Holder Inequality and Minkowski Inequality Various Concepts in a Metric Space Separable Metrics Spaces with Examples Convergence, Cauchy Sequence, Completeness Examples of Complete and Incomplete Metric Sp.. Completion of Metric Spaces + Tutorial Vector Spaces with Examples Normed Spaces with Examples Banach Spaces and Schauder Basic Finite Dimensional Normed Spaces and Subspace.. Compactness of Metric/Normed Spaces Linear Operators-definition and Examples Bounded Linear Operators in a Normed Space Bounded Linear Functionals in a Normed Space Concept of Algebraic Dual and Reflexive Space Dual Basis & Algebraic Reflexive Space Dual Spaces with Examples Tutorial - I Tutorial - II Inner Product & Hilbert Space Further Properties of Inner Product Spaces Projection Theorem, Orthonormal Sets and Sequ.. Representation of Functionals on a Hilbert Sp.. Hilbert Adjoint Operator Self Adjoint, Unitary & Normal Operators Tutorial - III Annihilator in an IPS Total Orthonormal Sets And Sequences Partially Ordered Set and Zorns Lemma Hahn Banach Theorem for Real Vector Spaces Hahn Banach Theorem for Complex V.S. & Normed.. Baires Category & Uniform Boundedness Theorem.. Open Mapping Theorem Closed Graph Theorem Adjoint Operator Strong and Weak Convergence Convergence of Sequence of Operators and Func.. LP - Space LP - Space (Contd.)