Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
lSome Remarks on Approximation Properties with Applications. / Reinov, Oleg.
ORDERED STRUCTURES AND APPLICATIONS. ed. / M DeJeu; B DePagter; O VanGaans; M Veraar. Birkhäuser Verlag AG, 2016. p. 371-394 (Trends in Mathematics).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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TY - GEN
T1 - lSome Remarks on Approximation Properties with Applications
AU - Reinov, Oleg
PY - 2016
Y1 - 2016
N2 - We study some known approximation properties and introduce and investigate several new approximation properties, closely connected with different quasi-normed tensor products. These are the properties like the AP(s) or AP((s,w)) for s is an element of(0, 1], which give us the possibility to identify the spaces of s-nuclear and (s, w)-nuclear operators with the corresponding tensor products (e.g., related to Lorentz sequence spaces). Some applications are given (in particular, we present not difficult proofs of the trace-formulas of GrothendieckLidskii type for several ideals of nuclear operators).
AB - We study some known approximation properties and introduce and investigate several new approximation properties, closely connected with different quasi-normed tensor products. These are the properties like the AP(s) or AP((s,w)) for s is an element of(0, 1], which give us the possibility to identify the spaces of s-nuclear and (s, w)-nuclear operators with the corresponding tensor products (e.g., related to Lorentz sequence spaces). Some applications are given (in particular, we present not difficult proofs of the trace-formulas of GrothendieckLidskii type for several ideals of nuclear operators).
KW - Nuclear operator
KW - tensor product
KW - approximation property
KW - eigen-value
KW - SUBSPACES
KW - OPERATORS
M3 - статья в сборнике материалов конференции
SN - 978-3-319-27840-7
T3 - Trends in Mathematics
SP - 371
EP - 394
BT - ORDERED STRUCTURES AND APPLICATIONS
A2 - DeJeu, M
A2 - DePagter, B
A2 - VanGaans, O
A2 - Veraar, M
PB - Birkhäuser Verlag AG
Y2 - 22 July 2013 through 26 July 2013
ER -
ID: 86610466