Operator topologies

[215/47%]

Subtopics

Convergence of sequences of bounded operators[28/57%]
Continuity of multiplication, adjoint and norm in operator topologies[26/58%]
Commutants and von Neumann algebras[25/0%]
Relations between the norm, strong and weak operator topologies[20/40%]
Banach-Steinhaus theorem on pointwise limits of operators[17/24%]
Closures of classes of operators in operator topologies[16/81%]
Weakly bounded sets are norm bounded[16/31%]
Criteria and rules for strong and weak operator convergence[12/67%]
Topology of the set of invertible operators[12/75%]
Limits of pairings under mixed modes of convergence[10/60%]
Perturbation and semicontinuity of the spectrum[10/70%]
Vigier's theorem (monotone sequences of Hermitian operators)[8/38%]
Compactness and metrizability of the operator unit ball[5/40%]
Korovkin's theorem[5/80%]
Von Neumann mean ergodic theorem[5/60%]
Von Neumann alternating projection theorem[2/50%]
Resolvent Convergence of Self-adjoint Operators
Von Neumann Double Commutant Theorem