Simultaneous unitary equivalence to bi-Carleman operators with arbitrarily smooth kernels of Mercer type

by    Igor M. Novitskii

Preprint series: 03-15, Reports on Analysis

Igor M. Novitskii

Preprint series: , Reports on Analysis

MSC:
47B38 Operators on function spaces (general)
47G10 Integral operators [See also 45P05]

Abstract: In this paper, we characterize the families of those bounded
linear operators on a sepaprable Hilbert space which are
simultaneously unitarily equivalent to integral bi-Carleman
operators on $L_2(R)$ having arbitrarily smooth kernels of
Mercer type. The main result is a qualitative sharpening
of an earlier result of [7].

Keywords: Integral linear operator, bi-Carleman operator, Hilbert-Schmidt operator, Carleman kernel, essential spectrum, Lemarie-Meyer wavelet

Upload: 2003-12-05

Update: 2003-12-05


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