MATH: P-9 Functional Analysis(e-PGP)

   Monday, January 16, 2023   

Starting a new Lecture Notes Series on MATH: P-9 Functional Analysis(e-PGP)

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MATH: P-9 Functional Analysis(e-PGP)
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Lecture Description of this above Topic:

Lecture 1: Convex Set (MATH)

Lecture 2: Equivalent norms and series in banach spaces (MATH)

Lecture 3: Quotient spaces (MATH)

Lecture 4: Bounded linear operators (MATH)

Lecture 5: Norm of bounded linear operators. (MATH)

Lecture 6: Convergence of bounded linear operators.(MATH)

Lecture 7: Open mapping theorem.(MATH)

Lecture 8: Closed graph theorem.(MATH)

Lecture 9: Extension of bounded linear operators.(MATH)

Lecture 10: Linear functionals.(MATH)

Lecture 11: Hahn banach theorem.(MATH)

Lecture 12: Applications of hahn banach theorem.(MATH)

Lecture 13: First conjugate spaces.(MATH)

Lecture 14: Second conjugate spaces.(MATH)

Lecture 15: Strong convergence and weak convergence of a sequence of operators.(MATH)

Lecture 16: Inner product spaces.(MATH)

Lecture 17: Orthogonal and orthonormal vectors.(MATH)

Lecture 18: Some fundamental results on inner product spaces.(math)

Lecture 19: Some results on hilbert spaces.(MATH)

Lecture 20: Series in hilbert spaces and isometric isomorphism between hilbert spaces.(MATH)

Lecture 21: Adjoint operators algebra of adjoint operators.(MATH)

Lecture 22: Self adjoint operators over hilbert spaces and its eigen values and eigen vectors.(MATH)

Lecture 23: Normal operators and unitary operators.(MATH)

Lecture 24: Projection operators.(MATH)