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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
 
 
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Chapters
     
Metric Spaces, Completeness Total views (879)  
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   
 
Banach Contraction Mapping Theorem and Applications Total views (881)  
In this unit, we introduce the concept of Banach Contraction Mapping Theorem and its Applications.
Pages: 7
Price: Rs 5.25   
 
Baire's Category Theorem Total views (876)  
In this unit, we introduce the concept of Baire's Category Theorem and Cantor's Intersection Theorem.
Pages: 7
Price: Rs 5.25   
 
Ascoli-Arzela Theorem Total views (872)  
In this unit, we introduce the concept of Ascoli-Arzela Theorem.
Pages: 11
Price: Rs 8.25   
 
Linear Spaces, Linear Operators Total views (893)  
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   
 
Normed Spaces, F-Riesz Lemma Total views (897)  
In this unit, students are introduced to the concept of Normed spaces and F-Riesz lemma.
Pages: 6
Price: Rs 4.5   
 
Hahn-Banach Extension Theorem Total views (903)  
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   
 
Stone-Weierstrass Theorem Total views (897)  
After studying this unit, students will be able to explain Stone - Weierstrass Theorem.
Pages: 7
Price: Rs 5.25   
 
Banach Spaces, Quotient and Subspaces of Banach Spaces Total views (901)  
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   
 
Continuous Linear Transformations, the Hahn-Banach Theorem Total views (905)  
In this unit, students are introduced to the concept of Continuous linear transformations and the Hahn - Banach theorem.
Pages: 7
Price: Rs 5.25   
 
The Open Mapping Theorem, Closed Graph Theorem Total views (904)  
In this unit, students are introduces to the concept of Open mapping theorem and Closed graph theorem.
Pages: 12
Price: Rs 9   
 
Uniform Bounded Principle Total views (900)  
In this unit, students are introduced to the concept of Uniform bounded principle (the Banach - Steinhaus theorem).
Pages: 6
Price: Rs 4.5   
 
Hilbert Spaces, Properties of Hilbert Spaces Total views (907)  
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   
 
Orthogonality and Orthogonal Complements Total views (910)  
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   
 
The Conjugate space H*, Riesz Representation Theorem Total views (909)  
In this unit, students are introduced to the concept of the conjugate space H* and Riesz representation theorem.
Pages: 2
Price: Rs 1.5   
 
Adjoint of an Operator, Self Adjoint Operator Total views (924)  
In this unit, students are introduced to the concept of the adjoint of an operator and self adjoint operator.
Pages: 4
Price: Rs 3   
 


 
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