University MSc Math 3rd Sem Syllabus Download Link

University MSc Math 3rd Sem Syllabus Details: Hello Dear Students you all want to take Admission in PG Course with MSc Mathematics in any University present in Bihar must Download and Check this MSc Mathematics 3rd Semester Syllabus in PDF format and then will take Admission.

MSc Mathematics 3rd Semester (CC-XI) Syllabus:

Unit 1 ; Normed linear spaces, Banach spaces and examples, Quotient space of normed linear
Spaces and its completeness, equivalent norms, Riesz Lemma, Basic properties of
finite dimensional normed linear spaces and compactness.

Unit 2 : Weak convergence and bounded linear transformation, normed linear spaces of
bounded linear transformations, dual spaces with examples, uniform boundness
theorem and some of its consequences.

Unit 3: Open mapping theorem and closed graph theorem, Hahn- Banach Theorem on real
linear spaces. complex linear spaces and normed linear spaces, Reflexive spaces.

Unit 4: Inner product spaces, Riesz lemma on Hilbert space, orthonormals sets and
Parseval’s identity, structure of Hilbert spaces, Projection theorem Riesz
Representation Theorem.

Unit 5: Adjoint of an operator on a Hilbert space, Reflexivity of Hilbert spaces, Selfadjoint Operators. positive operator. Projection, Normal and unitary operators.

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University MSc Mathematics 3rd Semester Syllabus:

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