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Carleman and semi-Carleman operators

Carleman and semi-Carleman operators

we say K is semi-Carleman. If both (1) and (2) hold we say K is bi-Carieman. The theory of Carleman operators was initiated by T. Carlemaan in 1923 [1], and extended by J. von Neumann [2 ], using results of Weyl [3]. In the earlier literature it was always assumed …