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of 38
pro vyhledávání: '"Oleg Reinov"'
Autor:
Oleg Reinov
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 14, Iss 3, Pp 187-205 (2021)
The following result of G. Pisier contributed to the appearance of this paper: if a convolution operator ★f : M(G) → C(G), where $G$ is a compact Abelian group, can be factored through a Hilbert space, then f has the absolutely summable set of Fo
Externí odkaz:
https://doaj.org/article/2d3b220407ea4874987ec3431cab8c12
Autor:
Oleg Reinov
Publikováno v:
Mathematical Notes. 108:243-249
The first example of a Banach space with the approximation property but without the bounded approximation property was given by Figiel and Johnson in 1973. We give the first example of a Banach lattice with the approximation property but without the
Autor:
Oleg Reinov
Publikováno v:
Mathematical Notes. 107:357-362
Autor:
Oleg Reinov
Publikováno v:
Matematicheskie Zametki. 107:311-316
Autor:
Oleg Reinov
Publikováno v:
Analysis as a Tool in Mathematical Physics ISBN: 9783030315306
It was shown by M.I. Zelikin (2007) that the spectrum of a nuclear operator in a Hilbert space is central-symmetric iff the traces of all odd powers of the operator equal zero. B. Mityagin (2016) generalized Zelikin’s criterium to the case of compa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49e51b8eb4bba995dfcba1a3c0faf63a
https://doi.org/10.1007/978-3-030-31531-3_29
https://doi.org/10.1007/978-3-030-31531-3_29
Autor:
Oleg Reinov
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 453-460 (2018)
It was shown by M. I. Zelikin (2007) that the spectrum of a nuclear operator in a separable Hilbert space is central-symmetric iff the spectral traces of all odd powers of the operator equal zero. The criterium can not be extended to the case of gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d968db5311a31103fdf3ce6a7c7137e
Autor:
Oleg Reinov, Qaisar Latif
Publikováno v:
Banach Center Publications. 102:189-195
Generalizing A. Grothendieck's (1955) and V.B. Lidski 's (1959) trace formulas, we have shown in a recent paper that for p ∈ [1,∞] and s ∈ (0, 1] with 1/s = 1+ |1/2− 1/p| and for every s-nuclear operator T in every subspace of any Lp(ν)-spac
Autor:
Oleg Reinov
Publikováno v:
Trends in Mathematics ISBN: 9783319278407
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 APs or AP(s,w) for s ∈ (0, 1], which g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86812ec5bd6f30dee86b27f6e5210a33
https://doi.org/10.1007/978-3-319-27842-1_24
https://doi.org/10.1007/978-3-319-27842-1_24
Autor:
Oleg Reinov, Qaisar Latif
Publikováno v:
Mathematische Nachrichten. 286:279-282
In 1955, A. Grothendieck has shown that if the linear operator T in a Banach subspace of an L∞-space is 2/3-nuclear then the trace of T is well defined and is equal to the sum of all eigenvalues {μk(T)} of T. Lidskiǐ, in 1959, proved his famous t
Autor:
Oleg Reinov
Publikováno v:
Functional Analysis and Its Applications. 51:316-317
The possibility of factoring a product of nuclear operators through operators in the von Neumann–Schatten class is considered. In particular, generally, the product of two nuclear operators can be factored only through a Hilbert–Schmidt operator.