A. Sherstnev

collaborators

2 papers

math.OA2013

A characterization of orthogonal vector fields over $W^{*}$ -algebras of type $I_{2}$

G. D. Lugovaya, A. N. Sherstnev

In the paper we give a characterization of a $w^{*}$ -continuous orthogonal vector field $F$ over an $W^{*}$ -algebra $N$ of type $I_{2}$ in terms of reductions $F$ on the center…

math.OA2011

Measures on projections in a $W^{*}$ -algebra of type $I_{2}$

A. N. Sherstnev

It is shown that for every measure $m$ on projections in a $W^{*}$ -algebra of type $I_{2}$ , there exists a Hilbert-valued orthogonal vector measure $μ$ such that $∥ μ (p) ∥^{2} = m (p)$ for…

A characterization of orthogonal vector fields over W∗-algebras of type I2​

Measures on projections in a W∗-algebra of type I2​

A characterization of orthogonal vector fields over $W^{*}$ -algebras of type $I_{2}$

Measures on projections in a $W^{*}$ -algebra of type $I_{2}$