2 papers
math.FA2001
An Interesting Class of Operators with unusual Schatten-von Neumann behavior
A. B. Aleksandrov, S. Janson, V. V. Peller +1
We consider the class of integral operators $Q_\f$ on of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on …
math.OA1999
Noncommutative complex analysis and Bargmann-Segal multipliers
Richard Rochberg, Nik Weaver
We state several equivalent noncommutative versions of the Cauchy-Riemann equations and characterize the unbounded operators on L^2(R) which satisfy them. These operators arise fro…