E. N. Lomakina, M. S. Sarychev, “The estimates of the Schatten–Neumann norms of one class of integral operators”, Dal'nevost. Mat. Zh., 2021, Volume 21, Number 2,Pages <nobr>215

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The estimates of the Schatten–Neumann norms of one class of integral operators

E. N. Lomakina^ab, M. S. Sarychev^ab

^a Computer Centre of Far Eastern Branch RAS, Khabarovsk
^b Far Eastern State Transport University

Abstract: The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten–Neumann classes.

Key words: Lebesque spaces, Lorentz spaces, integral operator, approximation numbers, Shatten–Neumann norms.

UDC: 517.51

MSC: Primary 46E30; Secondary 47B38

Received: 10.10.2021

DOI: 10.47910/FEMJ202118