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Functional Analysis (V-U)

(113 Lectures Available)

S# Lecture Course Institute Instructor Discipline
76
  • Metric space Introduction (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
77
  • More examples of dual spaces (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
78
  • More Examples of linear functionals (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
79
  • Neighbourhood of a point and interior of a point (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
80
  • Norm on Inner Product Space (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
81
  • Normed space and Banach space (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
82
  • Open set/ball, closed set/ball (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
83
  • Operators on Finite dimensional spaces (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
84
  • Orthogonal System(Pythagorean Theorem) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
85
  • Orthonormal Systems (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
86
  • Parallelogram Law (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
87
  • Range and null space (Theorem) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
88
  • Revision(Vector Space) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
89
  • Self Adjoint, Unitary and Normal Operator (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
90
  • Self Adjoint, Unitary and Normal Operator(Examples) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
91
  • Self Adjoint, Unitary and Normal Operator(Self adjointness theorem) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
92
  • Self Adjoint, Unitary and Normal Operator(some properties) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
93
  • Sequence Space as an example of Metric Space (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
94
  • Sequence space s (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
95
  • Sequences and their Convergence (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
96
  • Some Important concepts of vector space (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
97
  • Subsapce and convergence in Norm spaces (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
98
  • Subspace of a Metric Space (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
99
  • The Gram-Schmidt Orthogonalization process (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences
100
  • Theorem (reflexivity) (V-U)
Functional Analysis (V-U) Virtual University Dr. Sarfraz Ahmad Basic and Health Sciences