Unbounded operators

[660/30%]

Subtopics

Functional calculus technique[80/19%]
Spectral measures and Borel functional calculus[73/21%]
Open mapping theorem[62/26%]
Spectral radius formula (Gelfand)[62/60%]
Closed graph theorem[60/33%]
Density / approximation argument[48/42%]
Spectral multiplicity theory[39/3%]
Symmetric operators, deficiency indices and self-adjoint extensions[30/13%]
Unitary and isometric operators[30/40%]
Strongly continuous operator semigroups[29/17%]
Adjoints and operator classes of multiplication operators[22/41%]
Adjoints of densely defined unbounded operators[19/11%]
Schrodinger Operators[17/29%]
Spectra of self-adjoint and positive operators[16/50%]
Continuous operators on test-function spaces[15/33%]
Stone's theorem on one-parameter unitary groups[14/14%]
The spectrum is a nonempty compact set[12/42%]
Boundedness of the differentiation operator[10/70%]
Point, continuous, residual and compression spectrum[10/50%]
Elementary properties of closed linear operators[9/11%]
Uncertainty principle in harmonic analysis[9/44%]
Fuglede's theorem[8/38%]
Spectrum of the Hilbert-space adjoint[7/43%]
Self-adjointness Criteria and Essential Self-adjointness[6/50%]
Unbounded normal operators and their polar decomposition[6/0%]
Wintner-Wielandt theorem (AB - BA = I)[6/50%]
Sturm-Liouville Operators, Limit Point and Limit Circle[3/0%]
Closed Quadratic Forms and the Friedrichs Extension
Hamburger Moment Problem
Relative Boundedness and the Kato-Rellich Theorem
Relatively Compact Perturbations
Resolvent Convergence of Self-adjoint Operators