Lec - 32 Introduction To Banach Algebra || Banach Algebra In Functional Analysis

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Lec - 32 Introduction To Banach Algebra || Banach Algebra In Functional Analysis

WELCOME TO MY YOUTUBE CHANNEL EXCELLENCE LEARNING

From this video we will start Important section of Functional Analysis i.e. BANACH ALGEBRA

**This lecture only contains introduction of Banach Algebra.**

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Link to my other video lectures on functional Analysis

Lec 01👇(Normed Linear Space)

Lec 02 👇(Banach Space)

Lec 03 👇(Quotient Space)

Lec 04 👇(Examples of Normed Linear Space & Banach Space)

Lec 05 👇(Theorems on Normed Linear Space)

Lec 06 👇(Direct Sum in Normed Linear Space)

Lec 07 👇(Lp & L infinity Space)

Lec 08 👇(Proof of Holder's Inequality)

Lec 09 👇(Proof of Minkowski's Inequality)

Lec 10 👇 (Continuous and Bounded Transformations in Normed Linear Space)

Lec 11 👇( Null space of linear Transformation)

Lec 12 👇(Equivalent Norms (Part 1))

Lec 13 👇(Equivalent Norms Part 2)

Lec 14 👇(Proof of Riesz Lemma and Theorem)

Lec 15 👇 (Space of Bounded linear transformations)

Lec -16 👇(Introduction to Hahn Banach Theorem)

Lec - 17 👇 (Hahn-Banach Theorem part 2)

Lec - 18 👇 (Strong & Weak Convergence)

Lec -19 👇 ( Weak Cauchy Sequence)

Lec - 20 👇 ( Convergence In Hilbert Space)

Lec 21👇 ( Adjoint of an operator)

Lec 22 👇 (Self Adjoint operator)

Lec 23 👇 ( Normal operator)

Lec 24 👇 ( Unitary Operator)

Lec 25 👇 ( Projection on Hilbert space )

Lec 26 👇 ( Invariance of set & Reducibility of operator )

Lec 27 👇( Orthogonality of Two projections)

Lec 28 👇 ( Spectral Theory )

Lec 29 👇 ( Spectral theorem for normal operator )

Lec 30 👇 ( Spectral Resolution of an operator )


Lec 31 👇 ( Theorems On Spectral Resolution of an operator )

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#BanachAlgebra
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Автор

It is very useful video maam.thank you so much for putting this video .

prakashrajput
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Nice explanation ma'am..which book are you following?

akshita
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Ma'am can you please explain briefly what do we mean by closed subalgebra

prernagupta