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Functional Analysis (V-U)
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
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