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24th April 2018, 07:31 PM
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Re: Shivaji University Centre For Distance Education

Can you provide me M.Sc. (Maths) Part II (Sem. III) Course Assignment Questions of Distance Education - Shivaji University?
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24th April 2018, 07:33 PM
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Re: Shivaji University Centre For Distance Education

The M.Sc. (Maths) Part II (Sem. III) Course Assignment Questions of Distance Education - Shivaji University is as follows:

Sub. : Functional Analysis (MT-301)

Q.1 Is the conjugate of a separable space is separable? Justify.

Q.2 Prove that a normed linear space is finite dimensional if and only if every closed ball in it is compact.

Q.3 If Banach space B is isometric to normed linear space N, then prove that N is also Banach space.

Q.4 If T is normal on H and f is a polynomial with complex coefficients then proves that f (T) is normal.

Q.5 Show that any two complete orthonormal set in a Hilbert space H have the same cardinal number.

Q.6 Show that an idempotent operator on Hilbert space H is a projection on H if and only if it is normal.


Sub. : Advanced Discrete Mathematics (MT-302)

Every Boolean algebra B is
A) Distributive lattice
B) Bounded lattice
C) Complemented lattice
D) All of the A,B,C.

Every finite subset of a lattice has
A) A LUB and a GLB
B) Many LUBs and a GLB
C) Many LUBs and GLBs
D) Either some LUBs or some GLBs.

Consider a simple connected graph G with n vertices and n edges (n>2). Then which of the following statements are true?
A) G is acyclic
B) G has at least one cycle
C) The graph obtained by removing any edge from G is not connected
D) None of these.

Which of the following graph is connected?
A) Simple graph
B) Regular graph
C) Bipartite graph
D) Complete bipartite graph.


M.Sc. (Maths) Part II (Sem. III) Assignment Questions of Distance Education - Shivaji University





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