Operator Theory

Operator Theory

It is a part of functional analysis that concentrates more with the bounded linear operators.  Our team has a specially qualified team of experts who are experienced in operator theory. They provide online tutoring and help with operator theory assignment.  You can have a discussion with our online operator theory tutors team and express your issues. You can also enroll in the online tutoring courses. Immediate attention is available to all the students ensuring best possible solutions to your projects as the only outcome

  • Dual space considerations
    • Isoperimetric problem
    • Calculus of variations
    • c_0 and c with supremum-norm
    • L^p
    •  Reflexivity
    • Representation of duals of the spaces c_{00} with p-norms
    • Dual space considerations
  • Operators on Banach and Hilbert spaces:
    • Normal and unitary operators
    • Numerical range and numerical radius
    • Adjoint of operators between Hilbert spaces
    • Compact operators between normed linear spaces
    • Hilbert–Schmidt operators
    • Integral operators as compact operators
    • Self-adjoint
  • Spectral results for Banach and Hilbert space operators
    • Eigen spectrum
    • Spectral radius formula
    • Spectral results for normal, self-adjoint and unitary operators
    • Spectrum and resolvent
    • Eigen spectrum
    • Spectral mapping theorem
    • Functions of self-adjoint operators
    • Riesz-Schauder theory
  • Spectral representation of operators:
    • Spectral theorem and singular value representation for compact self-adjoint operators
    • Spectral theorem for self-adjoint operators