Maan Shree

Based on cardinality set operation

Find the difference

Which of the following is convergent

Solving 1

Theorem D in functional analysis

Theorem B in banach space

Closed graph theorem

Uniform boundedness theorem

Set of self adjoint operator closed under scalar multiplication

Unitary iff adjoint of T exist

Self adjoint in case N=M orthogonal

d be the distance fron x to M such that llx-yll=d

A closed convex subset of H has a unique smallest norm.

Theorem unit 4

X bounded iff f(x) is bounded #Functional analysis

Open mapping theorem

Application of hanh Banach Theorem C

application of hanh Banach Theorem B

Hanh Banach Theorem

T(x)=x+M show it is CLT llTll leq 1

Let N and N' be a NLS and T is a linear transformation of N inti N'. Prove the equivalent condition

Holder's inequality

N is a banach space iff S is complete part 2

N is a banach space iff S is complete

Theorem A part 3

Theorem A part 2

Theorem A in banach space part 1

T is Normal and eigen spaces of T are pairwise orthogonal.

T has eigen value lamba and T* has eigen value lamba bar

Relation between T and T*