Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Usachev, Alexandr"'
Autor:
Tian, Yongqiang, Usachev, Alexandr
We study extended zeta-function residues on principal ideals of compact operators and their connections with Dixmier traces. We establish a Lidskii-type formula for continuous singular traces on these ideals. Using this formula, we obtain a necessary
Externí odkaz:
http://arxiv.org/abs/2407.05296
Autor:
Levitina, Galina, Usachev, Alexandr
In the present paper we suggest a construction of symmetric functionals on a large class of symmetric spaces over a semifinite von Neumann algebra. This approach establishes a bijection between the symmetric functionals on symmetric spaces and shift-
Externí odkaz:
http://arxiv.org/abs/2404.13870
The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.
Externí odkaz:
http://arxiv.org/abs/2401.11493
Autor:
Levitina, Galina, Usachev, Alexandr
We prove that a normalised linear functional on certain semifinite symmetric spaces respects tail majorisation if and only if it is a Dixmier-type trace.
Externí odkaz:
http://arxiv.org/abs/2401.05095
Autor:
Vermillion, Katrina, Sanford, Dustin L., Matthews, Lorin S., Hartmann, Peter, Rosenberg, Marlene, Kostadinova, Evdokiya, Carmona-Reyes, Jorge, Hyde, Truell, Lipaev, Andrey M., Usachev, Alexandr D., Zobnin, Andrey V., Petrov, Oleg F., Thoma, Markus H., Pustilnik, Mikhail Y., Thomas, Hubertus M., Ovchinin, Alexey
Publikováno v:
Physics of Plasmas Volume 29, Issue 2, 023701 (2022)
The self-organization of dust grains into stable filamentary dust structures (or "chains") largely depends on dynamic interactions between the individual charged dust grains and the complex electric potential arising from the distribution of charges
Externí odkaz:
http://arxiv.org/abs/2111.00374
Autor:
Levitina, Galina, Usachev, Alexandr
In this paper we extend the Pietsch correspondence for ideals of compact operators and traces on them to the semifinite setting. We prove that a shift-monotone space $E(\Z)$ of sequences indexed by $\Z$ defines a Calkin space $E(\cM,\tau)$ of $\tau$-
Externí odkaz:
http://arxiv.org/abs/2003.02499
We study two subclasses of Banach limits: the one consisting of Banach limits which are invariant with respect of the Ces\`aro operator and another one consists of Banach limits which are invariant with respect to all dilations. We prove that the fir
Externí odkaz:
http://arxiv.org/abs/1910.10899
Autor:
Goffeng, Magnus, Usachev, Alexandr
Publikováno v:
Journal of Functional Analysis Volume 279, Issue 7, 2020
In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engli\v{s}-Zhang to the case of powers $p\geq 1$ and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. I
Externí odkaz:
http://arxiv.org/abs/1901.05246
Publikováno v:
Journal of Geometry and Physics Volume 143, September 2019, Pages 107-149
We construct KMS-states from $\mathrm{Li}_1$-summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct constructions of KMS-states for naturally defined flows. Under further sum
Externí odkaz:
http://arxiv.org/abs/1811.06923
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