PG - TRB - MATHS MAJOR - FUNCTIONAL ANALYSIS - INTRODUCTION BASIC CONCEPT - UNIT - 5 - PART - 1 скачать в хорошем качестве

PG - TRB - MATHS MAJOR - FUNCTIONAL ANALYSIS - INTRODUCTION BASIC CONCEPT - UNIT - 5 - PART - 1

PG - TRB - MATHS MAJOR - FUNCTIONAL ANALYSIS - INTRODUCTION BASIC CONCEPT - UNIT - 5 - PART - 1 CONTACT : 9042030163 Unit V FUNCTIONAL ANALYSIS Banach Spaces – Definition and examples – Holder’s inequality and Minkowski’s inequality – Continuous linear transformations – The Hahn-Banach theorem – Natural imbedding of X in X** – The Open mapping and The Closed graph theorem – Properties of conjugate of an operator. Hilbert spaces – Orthonormal bases – Conjugate space H* – Adjoint of an operator – Projections – Matrices – Basic operations of matrices – Determinant of a matrix – Determinant and Spectrum of an operator – Spectral theorem for operators on a finite dimensional Hilbert space – Regular and Singular elements in a Banach Algebra – Topological divisor of zero – Spectrum of an element in a Banach algebra – The formula for the spectral radius – Radical and semi-simplicity.