ACTA issues

Compactness and Berezin symbols

I. Chalendar, E. Fricain, M. G├╝rdal, M. Karaev

Acta Sci. Math. (Szeged) 78:1-2(2012), 315-329

Abstract. We answer a question raised by Nordgren and Rosenthal about the Schatten--von Neumann class membership of operators in standard reproducing kernel Hilbert spaces in terms of their Berezin symbols.

AMS Subject Classification (1991): 47B38, 4B07; 47B35

Keyword(s): Berezin symbols, compact operators, Schatten--von Neumann classes, reproducing kernel Hilbert space, model spaces

Received September 1, 2011, and in revised form October 25, 2011. (Registered under 42/2011.)