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Lecture Notes

UNIT 1:
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Banach spaces: Property of normed linear space ,Quotient spaces
UNIT 2:
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Definition of Hilbert space, Schwarz inequality
UNIT 3:
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The adjoint of an operator
UNIT 4:
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spectrum of an operator:Eigen value ,Eigen vector and Eigen space , theorem
UNIT 5:
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Meaning of spectrum and Resolvent