Browsing Институты и другие подразделения by Subject "convexity"

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On convex closed sets of measurable operators

Bikchentaev Airat Midkhatovich (2018)

We investigate "operator" intervals of three types and prove some convexity and closedness theorems for such "intervals".
On convexity and compactness of operator ``intervals'' on Hilbert space

Bikchentaev Airat Midkhatovich (2018)

We consider a von Neumann algebra $M$ acting on a Hilbert space $H$. For a positive operator $X$ in $M$ we define the operator ``intervals'' $I_X=\{Y=Y^*\in M: \; -X \leq Y \leq X \}$ and $L_X=\{Y \in M: \; |Y| \leq X ...
On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures

Bikchentaev Airat Midkhatovich; Sakbaev Vsevolod Zhanovich (2019)

We describe the class of translation invariant measures on the algebra B(H) of bounded linear operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply two steps. First we show that a ...

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