We are familiar with the properties of finite dimensional vector spaces over a field. Many of the results that are valid in finite dimensional vector spaces can very well be extended to infinite dimensional cases sometimes with slight modifications in definitions. But there are certain results that do not hold in infinite dimensional cases. Here we consolidate some of those results and present it in a readable form.

We present the whole work in three chapters. All those concepts in vector spaces and linear algebra which we require in the seq ....etc

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We are familiar with the properties of finite dimensional vector spaces over a field. Many of the results that are valid in finite dimensional vector spaces can very well be extended to infinite dimensional cases sometimes with slight modifications in definitions. But there are certain results that do not hold in infinite dimensional cases. Here we consolidate some of those results and present it in a readable form.

We present the whole work in three chapters. All those concepts in vector spaces and linear algebra which we require in the seq ....etc

[:=Read Full Message Here=:]

We are familiar with the properties of finite dimensional vector spaces over a field. Many of the results that are valid in finite dimensional vector spaces can very well be extended to infinite dimensional cases sometimes with slight modifications in definitions. But there are certain results that do not hold in infinite dimensional cases. Here we consolidate some of those results and present it in a readable form.
We present the whole work in three chapters. All those concepts in vector spaces and linear algebra which we require in the seque ....etc

[:=Read Full Message Here=:]

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1. INTRODUCTION

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Infinite Dimensional Vector Space

Introduction
We are familiar with the properties of finite dimensional vector spaces over a field. Many of the results that are valid in finite dimensional vector spaces can very well be extended to infinite dimensional cases sometimes with slight modifications in definitions. But there are certain results that do not hold in infinite dimensional cases. Here we consolidate some of those results and present it in a readable form.

We present the whole work in three chapters. All those concepts in vector sp ....etc

[:=Read Full Message Here=:]