An extension of Mercer's theorem to unbounded operators

2003/03/19 by I. M. Novitskii, M. A. Romanov
Mathematics · #math.FA #math.SP #msc:45B05 #msc:45P05

paper · pdf

published as Published in Russian at "Dalnevostochnii Matematicheskii Sbornik", issue 7(1999), p. 123-132

arxiv created 2003/03/19 · arxiv updated 2009/11/30

Abstract

We give some extensions of Mercer's theorem to continuous Carleman kernels inducing unbounded integral operators.

Related

• Integral operators with infinitely smooth bi-Carleman kernels of Mercer type
• An Operator Theoretical Approach to Mercer's Theorem
• Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type
• Integral representations of unbounded operators by arbitrarily smooth Carleman kernels
• Simultaneous unitary equivalence to Carleman operators with arbitrarily smooth kernels