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pro vyhledávání: '"Mohan, Ravichandran"'
Publikováno v:
Engineering, Technology & Applied Science Research; Feb2024, Vol. 14 Issue 1, p13000-13005, 6p
Autor:
Ezgi Kantarcı Oğuz, Mohan Ravichandran
We prove a conjecture of Morier-Genoud and Ovsienko that says that rank polynomials of the distributive lattices of lower ideals of fence posets are unimodal. We do this by introducing a related class of circular fence posets and proving a stronger v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60714d14e01a1b384677ce77796b3177
Autor:
Mohan Ravichandran
Publikováno v:
International Mathematics Research Notices. 2020:4809-4832
We apply the techniques developed by Marcus, Spielman, and Srivastava, working with principal submatrices in place of rank-$1$ decompositions to give an alternate proof of their results on restricted invertibility. This approach recovers results of t
Autor:
Nikhil Srivastava, Mohan Ravichandran
Anderson's paving conjecture, now known to hold due to the resolution of the Kadison-Singer problem asserts that every zero diagonal Hermitian matrix admits non-trivial pavings with dimension independent bounds. In this paper, we develop a technique
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3873a280fb8edb0753b10e7bb6850958
http://arxiv.org/abs/1706.03737
http://arxiv.org/abs/1706.03737
Publikováno v:
Proceedings of the American Mathematical Society. 142:3441-3453
The carpenter problem in the context of II1 factors, formulated by Kadison asks: Let A ⊂ M be a masa in a type II1 factor and let E be the normal conditional expectation from M onto A. Then, is it true that for every positive contraction A in A, th
Autor:
Onur Yavuz, Mohan Ravichandran
Publikováno v:
Proceedings of the American Mathematical Society. 142:1641-1648
We prove a variety of results describing the possible diagonals of tuples of commuting hermitian operators in type $II_1$ factors. These results are generalisations of the classical Schur-Horn theorem to the infinite dimensional, multivariable settin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d81e489022de60bddf5a972c4c55c5f6
http://sedici.unlp.edu.ar/handle/10915/99872
http://sedici.unlp.edu.ar/handle/10915/99872
Publikováno v:
Journal of the London Mathematical Society. 82(3)
The radial (or Laplacian) masa in a free group factor is the abelian von Neumann algebra generated by the sum of the generators (of the free group) and their inverses. The main result of this paper is that the radial masa is a maximal injective von N
Let $\M$ be a finite von Neumann algebra acting on a Hilbert space $\H$ and $\AA$ be a transitive algebra containing $\M'$. In this paper we prove that if $\AA$ is 2-fold transitive, then $\AA$ is strongly dense in $\B(\H)$. This implies that if a tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::060d35393329423862b45cf9a3ed7bef
Autor:
Mohan Ravichandran, Jon Bannon
In this article we introduce an isomorphism invariant for type II_1 factors using the Connes-Folner condition. We compute bounds of this number for free group factors.
Comment: 15 pages, submitted to the Journal of Functional Analysis
Comment: 15 pages, submitted to the Journal of Functional Analysis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fcae982ae3885b97033010427b45d6b2