Intersections of commutants of analytic Toeplitz operators
Intersections of commutants of analytic Toeplitz operators
In this paper we study the intersection of commutants of analytic Toeplitz operators. Our main result is that if <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="phi"> <mml:semantics> <mml:mi>ϕ</mml:mi> <mml:annotation encoding="application/x-tex">\phi</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a finite Blaschke product and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Psi epsilon upper H Superscript normal infinity"> …