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// Dal'nevostochnyi Matematicheskii Zhurnal
// Archive
Dal'nevost. Mat. Zh.,
2021
Volume 21,
Number 2,
Pages
215–230
(Mi dvmg459)
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
Fulltext:
PDF file (588 kB)
References
©
Steklov Math. Inst. of RAS
, 2024