Maan Shree

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Based on cardinality set operation
Based on cardinality set operation
Find the difference
Find the difference
Which of the following is convergent
Which of the following is convergent
Solving 1
Solving 1
Theorem D in functional analysis
Theorem D in functional analysis
Theorem B in banach space
Theorem B in banach space
Closed graph theorem
Closed graph theorem
Uniform boundedness theorem
Uniform boundedness theorem
Set of self adjoint operator closed under scalar multiplication
Set of self adjoint operator closed under scalar multiplication
Unitary iff adjoint of T exist
Unitary iff adjoint of T exist
Self adjoint in case N=M orthogonal
Self adjoint in case N=M orthogonal
d be the distance fron x to M such that llx-yll=d
d be the distance fron x to M such that llx-yll=d
A closed convex subset of H has a unique smallest norm.
A closed convex subset of H has a unique smallest norm.
Theorem unit 4
Theorem unit 4
X bounded iff f(x) is bounded #Functional analysis
X bounded iff f(x) is bounded #Functional analysis
Open mapping theorem
Open mapping theorem
Application of hanh Banach Theorem C
Application of hanh Banach Theorem C
application of hanh Banach Theorem B
application of hanh Banach Theorem B
Hanh Banach Theorem
Hanh Banach Theorem
T(x)=x+M show it is CLT llTll leq 1
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
Let N and N' be a NLS and T is a linear transformation of N inti N'. Prove the equivalent condition
Holder's inequality
Holder's inequality
N is a banach space iff S is complete part 2
N is a banach space iff S is complete part 2
N is a banach space iff S is complete
N is a banach space iff S is complete
Theorem A part 3
Theorem A part 3
Theorem A part 2
Theorem A part 2
Theorem A in banach space part 1
Theorem A in banach space part 1
T is Normal and eigen spaces of T are pairwise orthogonal.
T is Normal and eigen spaces of T are pairwise orthogonal.
T has eigen value lamba and T* has eigen value lamba bar
T has eigen value lamba and T* has eigen value lamba bar
Relation between T and T*
Relation between T and T*