A dense set of operators quasisimilar to normal + compact
A dense set of operators quasisimilar to normal + compact
The algebra of all bounded linear operators acting on a complex separable infinite dimensional Hilbert space is the disjoint union of two dense subsets: Every operator in one of them is quasisimilar to an operator of the form "normal <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="plus"> <mml:semantics> <mml:mo>+</mml:mo> <mml:annotation encoding="application/x-tex">+</mml:annotation> </mml:semantics> </mml:math> …