Riemann Integration problems - 4

Riemann Integration Problems - 3

Riemann Integration Problems - 2

Riemann Integration :problems - 1

Functional Analysis - Class - 70:problem on product of projections

15 June 2024

Functional Analysis - Class - 69:Orthogonal Projections

Functional Analysis - Class - 68: M is orthogonal to N iff PQ = 0 iff QP = 0

Functional Analysis - Class -67 : M reduces an operator T iff TP = PT

Functional Analysis - Class - 66: M is invariant under T iff TP = PTP

Functional Analysis - Class - 65 : M reduces T iff M is invariant under T and it’s adjoint

Functions of Several Variables - Problems on Continuity

Functions of Several Variables - Repeated Limits

Functions of Several Variables - Problem -

Functional Analysis - Class - 64 : Invariance and Reducibility

Functions of Several Variables - Problem - 4

Functions of Several Variables - Problem - 3

Functional Analysis - Class - 63

Functions of Several Variables - Problem - 2

Functional Analysis - Class - 62

Functions of Several Variables - Problem- 1

Functional Analysis - Class - 61

Functional Analysis - Class - 60:Projection on a Hilbert space

Functional Analysis - Class - 59: Unitary Operator

Functional Analysis - Class - 58:T is normal iff it’s real and imaginary parts commutates

Galois Theory - Class - 14

Galois Theory - Class - 13: Algebraic Closure and two more theorems

Galois Theory - Class - 12: Algebraically Closed field

Galois Theory - Class - 11

Functional Analysis - Class - 57 : Real and Imaginary parts of an operator

Functional Analysis - Class - 56: Theorem on normal operator

Functional Analysis - Class - 55 : Normal Operator

Galois Theory -Class -10:Minimal polynomial,Algebraic extension,Every finite extension is algebraic

Functional Analysis - Class - 54:Positive Operator

Galois Theory - Class - 9 : Algebraic element

Functional Analysis - Class - 53:The set of all self adjoint operators forms a partially ordered set

Galois Theory - Class - 8: Kronecker Theorem

Functional Analysis - Class - 52

Galois Theory - Class - 7

Functional Analysis - Class - 51:Set of all Self Adjoint Operators forms a Banach Space

Functional Analysis - Class - 50

Galois Theory - Class - 6: Extension of a Field, Finite extension of a field

Functional Analysis - Class - 49: Self adjoint Operator

Abstract Algebra - First Sylow Theorem

Galois Theory - Class - 5: Problems on Eisenstein Criterion and other theorems

Functional Analysis - Class - 48: Adjoint of an Operator,properties of adjoint of an operator

Galois Theory - Class -4 : Eisenstein Criterion

Functional Analysis - Class - 47 Every Hilbert Space is Reflexive

Galois Theory - Class - 3: Gauss Lemma

Functional Analysis - Class - 46

Galois Theory - Class -2

Functional Analysis - Class - 45:Riesz Representation theorem on Hilbert Spaces

Galois Theory - Class - 1

Functional Analysis - Class -44

Functional Analysis - Class - 43

Functional Analysis - Class-42

Functional Analysis - Class -41

Functional Analysis - Class - 41: orthonormal set

Functional Analysis - Class - 40

Functional Analysis - Class - 39