Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Hyperfinite set"'
Autor:
Evgeny Gordon
Publikováno v:
Communications in Computer and Information Science ISBN: 9783030787585
This article contains an extended exposition of my talk “Yu. I. Neimark and mathematical rigor” at the special session of the conference MMCT-2020. It discusses the role of mathematical rigor in applied mathematics. The discussion focuses on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b592ea636f9f34eb7a4a0a6b86ccad2a
https://doi.org/10.1007/978-3-030-78759-2_1
https://doi.org/10.1007/978-3-030-78759-2_1
Autor:
Frederik Herzberg, Tolulope Fadina
The hyperfinite $G$-expectation is a nonstandard discrete analogue of $G$-expectation (in the sense of Robinsonian nonstandard analysis). A lifting of a continuous-time $G$-expectation operator is defined as a hyperfinite $G$-expectation which is inf
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4089574f0e6f6b0a6671826b3fa8738
http://arxiv.org/abs/1810.09386
http://arxiv.org/abs/1810.09386
Autor:
Steve Jackson, Su Gao
Publikováno v:
Inventiones mathematicae. 201:309-383
An equivalence relation E on a standard Borel space is hyperfinite if E is the increasing union of countably many Borel equivalence relations $$E_n$$ where all $$E_n$$ -equivalence classs are finite. In this article we establish the following theorem
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https://explore.openaire.eu/search/publication?articleId=doi_________::fb95ed07b7169b566e7d0b4a957b2bb7
https://doi.org/10.1007/s00222-015-0603-y
https://doi.org/10.1007/s00222-015-0603-y
Autor:
LiGuang Wang
Publikováno v:
Science China Mathematics. 58:1707-1714
Let ℒ be a type II1 factor with separable predual and τ be a normal faithful tracial state of ℒ. We first show that the set of subfactors of ℒ with property Γ, the set of type II1 subfactors of ℒ with similarity property and the set of all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f7c9ba4dc48049c827d35fd4363b70e
https://doi.org/10.1007/s11425-014-4937-5
https://doi.org/10.1007/s11425-014-4937-5
Publikováno v:
Journal of Pure and Applied Algebra. 217:1208-1223
In this paper, we will be concerned with Hyperfinite MV-algebras, which are infinite models of the theory of finite MV-algebras. We have three main results. As a first main result, we show that every hyperfinite MV-algebra is elementarily equivalent
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4badcd4c9f1ab3b4b70912dd42725fda
https://doi.org/10.1016/j.jpaa.2012.10.012
https://doi.org/10.1016/j.jpaa.2012.10.012
Autor:
Bo Zhao
Publikováno v:
International Journal of Mathematics. 21:1545-1560
Based on the structure of hyperfinite II1factor, we study its Dirichlet forms which can be constructed from Dirichlet forms on M2n(ℂ).
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https://explore.openaire.eu/search/publication?articleId=doi_________::26291b440c91423a03e380be01fa325d
https://doi.org/10.1142/s0129167x10006628
https://doi.org/10.1142/s0129167x10006628
Autor:
Gabriel H. Tucci
Publikováno v:
Journal of Functional Analysis. 254:2969-2994
For each sequence {cn}n in l1(N) we define an operator A in the hyperfinite II1-factor R. We prove that these operators are quasinilpotent and they generate the whole hyperfinite II1-factor. We show that they have non-trivial, closed, invariant subsp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3c8e3e383c5c917f2e423b480c96282
https://doi.org/10.1016/j.jfa.2008.03.012
https://doi.org/10.1016/j.jfa.2008.03.012
Publikováno v:
Journal of Functional Analysis. 240(2):373-398
Let A⊆M⊆B(L2(M)) be a maximal abelian self-adjoint subalgebra (masa) in a type II1 factor M in its standard representation. The abelian von Neumann algebra A generated by A and JAJ has a type I commutant which contains the projection eA∈A onto
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2600d657d77ad2f54dfab30e9937e02
Autor:
Debashish Goswami, Lingaraj Sahu
Publikováno v:
Proceedings of the Indian Academy of Sciences - Section A. 116:411-422
We investigate certain classes of normal completely positive (CP) maps on the hyperfinite $II_1$ factor $\mathcal A$. Using the representation theory of a suitable irrational rotation algebra, we propose some computable invariants for such CP maps.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e04097a7529398c1dd8117550c27c27
https://doi.org/10.1007/bf02829699
https://doi.org/10.1007/bf02829699
Autor:
P. V. Andreev, E. I. Gordon
Publikováno v:
Annals of Pure and Applied Logic. 143(1-3):3-19
We develop an axiomatic set theory -- the Theory of Hyperfinite Sets THS, which is based on the idea of existence of proper subclasses of big finite sets. We demonstrate how theorems of classical continuous mathematics can be transfered to THS, prove
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