Harwani, Kamal and Dogga, Venku Naidu
(2019)
TOPOLOGICAL VECTOR SPACE AND ITS PROPERTIES.
Masters thesis, Indian institute of technology Hyderabad.
Abstract
The main aim of this project is to learn a branch of Mathematics that studies vector spaces endowed with some kind of limitrelated structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. Specifically we will learn vector space with some topology on it (called topological vector space). A topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space (an algebraic structure) which is also a topological space, thereby admitting a notion of continuity. More specially, its topological space has a uniform topological structure, allowing a notion of uniform convergence.
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IITH Creators: 
IITH Creators  ORCiD 

Dogga, Venku Naidu  UNSPECIFIED 

Item Type: 
Thesis
(Masters)

Uncontrolled Keywords: 
Topological Vector Space, Convexity 
Subjects: 
Mathematics 
Divisions: 
Department of Mathematics 
Depositing User: 
Team Library

Date Deposited: 
17 May 2019 09:23 
Last Modified: 
17 May 2019 09:23 
URI: 
http://raiith.iith.ac.in/id/eprint/5232 
Publisher URL: 

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