Канал: SUMIT CHANDOK

Method of Undetermined coefficients

Method of Undetermined coefficients

Introduction-PMA301

Introduction-PMA301

Convex Sets

Convex Sets

Functional representation of Hilbert Space

Functional representation of Hilbert Space

Compact operators

Compact operators

Projection Operator

Projection Operator

Linear Functionals

Linear Functionals

Examples of dual space

Examples of dual space

Dual Space

Dual Space

Extension of linear operator

Extension of linear operator

Strong and weak convergence

Strong and weak convergence

Some Results in Inner Product Space

Some Results in Inner Product Space

Bounded Linear Transformation

Bounded Linear Transformation

Linear Independent

Linear Independent

Linear Subspace

Linear Subspace

Linear Operator

Linear Operator

Gram Schimdt Orthogonalization

Gram Schimdt Orthogonalization

Total Orthonormal Set

Total Orthonormal Set

Quotient normed linear space

Quotient normed linear space

Cantor Intersection Theorem

Cantor Intersection Theorem

Finite Dimension and compactness

Finite Dimension and compactness

Series convergence and completeness in normed linear space

Series convergence and completeness in normed linear space

Some Basic Inequalities

Some Basic Inequalities

Applications of Hahn Banach Theorem

Applications of Hahn Banach Theorem

Self Adjoint Operators in Hilbert spaces

Self Adjoint Operators in Hilbert spaces

Hilbert Adjoint Operator

Hilbert Adjoint Operator

Orthogonal and Orthonormal Vectors

Orthogonal and Orthonormal Vectors

Review of Metric Spaces

Review of Metric Spaces

Banach Contraction Principle

Banach Contraction Principle

Best Approximation in Inner product space

Best Approximation in Inner product space

Hahn Banach Theorem

Hahn Banach Theorem

Vector Space

Vector Space

Uniform Boundedness Theorem

Uniform Boundedness Theorem

Closed Graph Theorem

Closed Graph Theorem

Open Mapping Theorem

Open Mapping Theorem

Finite Dimensional normed linear space

Finite Dimensional normed linear space

Equivalent Norms

Equivalent Norms

Inner Product Space

Inner Product Space

Normed Linear Space

Normed Linear Space

Metric Space

Metric Space

Completeness Property in Normed Space

Completeness Property in Normed Space