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 Title      : Math 3.3 Functional Analysis Subject      : Mathematics copyright © 2018   : Karnataka State Open University Author      : KSOU Publisher      : Karnataka State Open University Chapters/Pages      : 16/126 Total Price      : Rs.      : 82 To Purchase, select the individual chapter(s) or click "Select all" for the complete book. Please scroll down to view chapter(s).
Chapters

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In this unit, we introduce the concept of metric spaces. We give the properties of metric spaces and some theorems related to metric space. Finally, we explain the Metric Completion Theorem.
 Pages: 18
 Price: Rs 0

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In this unit, we introduce the concept of Banach Contraction Mapping Theorem and its Applications.
 Pages: 7
 Price: Rs 5.25

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In this unit, we introduce the concept of Baire's Category Theorem and Cantor's Intersection Theorem.
 Pages: 7
 Price: Rs 5.25

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In this unit, we introduce the concept of Ascoli-Arzela Theorem.
 Pages: 11
 Price: Rs 8.25

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Linear space or vector space is the most fundamental and important structure in the functional analysis. This structure is built making use of a nonempty set of vectors X , a field of scalars F, which is either field of real numbers or field of complex numbers and two algebraic operations in the form of linear expressions namely, vector addition and scalar multiplication.
 Pages: 9
 Price: Rs 6.75

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In this unit, students are introduced to the concept of Normed spaces and F-Riesz lemma.
 Pages: 6
 Price: Rs 4.5

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In this unit, we shall prove the famous Hahn - Banach Extension Theorem. This is one of the most fundamental theorems in functional analysis and is due to Hahn and Banach. It yields the existence of nontrivial continuous linear functionals on a normed linear space, '" basic result necessary for the development of a large portion of functional analysis.
 Pages: 9
 Price: Rs 6.75

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After studying this unit, students will be able to explain Stone - Weierstrass Theorem.
 Pages: 7
 Price: Rs 5.25

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In this unit, students are introduced to the concept and properties of Banach spaces and some theorems related to Banach spaces.
 Pages: 9
 Price: Rs 6.75

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In this unit, students are introduced to the concept of Continuous linear transformations and the Hahn - Banach theorem.
 Pages: 7
 Price: Rs 5.25

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In this unit, students are introduces to the concept of Open mapping theorem and Closed graph theorem.
 Pages: 12
 Price: Rs 9

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In this unit, students are introduced to the concept of Uniform bounded principle (the Banach - Steinhaus theorem).
 Pages: 6
 Price: Rs 4.5

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In this unit, students are introduced to the concept,properties of Hilbert spaces and some theorems related to Hilbert spaces.
 Pages: 5
 Price: Rs 3.75

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In this unit, we introduce the concept of orthogonality and orthogonal complements. We give the properties of orthogonality and orthogonal complements and some theorems related to orthogonality and orthogonal complements.
 Pages: 7
 Price: Rs 5.25

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In this unit, students are introduced to the concept of the conjugate space H* and Riesz representation theorem.
 Pages: 2
 Price: Rs 1.5

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In this unit, students are introduced to the concept of the adjoint of an operator and self adjoint operator.
 Pages: 4
 Price: Rs 3