Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Chilin, V. I."'
Autor:
Chilin, V. I., Karimov, A. K.
We prove the version of interpolation theorem for non-commutative vector-valued fully symmetric spaces associated with fully symmetric Banach function spaces and a von Neumann algebra equipped with a faithful semifinite normal trace.
Comment: 14
Comment: 14
Externí odkaz:
http://arxiv.org/abs/1311.6207
We prove that every derivation acting on a von Neumann algebra $\mathcal{M}$ with values in a quasi-normed bimodule of locally measurable operators affiliated with $\mathcal{M}$ is necessarily inner.
Comment: 12 pages. arXiv admin note: substant
Comment: 12 pages. arXiv admin note: substant
Externí odkaz:
http://arxiv.org/abs/1308.6117
Autor:
Chilin, V. I., Ganiev, I. G.
We present versions of ergodic theorems for $L_1$--$L_\infty$ contractions in Banach--Kantorovich $L_p$-lattices associated with the Maharam measure taking values in the algebra of measurable functions.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1306.3827
It is established that every derivation continuous with respect to the local measure topology acting on the *-algebra $LS(\mathcal{M})$ of all locally measurable operators affiliated with a von Neumann algebra $\mathcal{M}$ is necessary inner. If $\m
Externí odkaz:
http://arxiv.org/abs/1302.4883
Autor:
Chilin, V. I., Levitina, G. B.
Let $\mathcal{A}$ be a commutative $AW^*$-algebra, let $S(\mathcal{A})$ be the *-algebra of all measurable operators affiliated with $\mathcal{A}$, let $\mathcal{I}$ be an ideal in $\mathcal{A}$, let $s(\mathcal{I})$ be the support of the ideal $\mat
Externí odkaz:
http://arxiv.org/abs/1205.6083
Let $\mathcal{I,J}$ be symmetric quasi-Banach ideals of compact operators on an infinite-dimensional complex Hilbert space $H$, let $\mathcal{J:I}$ be a space of multipliers from $\mathcal{I}$ to $\mathcal{J}$. Obviously, ideals $\mathcal{I}$ and $\m
Externí odkaz:
http://arxiv.org/abs/1204.4297
Autor:
Chilin, V. I., Muminov, K. K.
A complete system of differential invariants for equivalence of curves in the $n$-dimensional pseudo-euclidean space with respect to the action of each of the groups $K^n \lhd O(n,p,K)$, $K^n \lhd SO(n,p,K)$, $O(n,p,K)$, and $SO(n,p,K)$, where $K = \
Externí odkaz:
http://arxiv.org/abs/1204.4049
We prove that any derivation of the *-algebra $LS(\mathcal{M})$ of all locally measurable operators affiliated with a properly infinite von Neumann algebra $\mathcal{M}$ is continuous with respect to the local measure topology $t(\mathcal{M})$. Build
Externí odkaz:
http://arxiv.org/abs/1108.5427
In the present paper we introduce a certain class of non commutative Orlicz spaces, associated with arbitrary faithful normal locally-finite weights on a semi-finite von Neumann algebra $M.$ We describe the dual spaces for such Orlicz spaces and, in
Externí odkaz:
http://arxiv.org/abs/1108.3267
Autor:
Chilin, V. I., Muratov, M. A.
We consider the locally measure topology $t(\mathcal{M})$ on the *-algebra $LS(\mathcal{M})$ of all locally measurable operators affiliated with a von Neumann algebra $\mathcal{M}$. We prove that $t(\mathcal{M})$ coincides with the $(o)$-topology on
Externí odkaz:
http://arxiv.org/abs/1001.1651