A. Novikov

most cited

L_{1}

-space for a positive operator affiliated with von Neumann algebra

11 citations · 23 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2019★ 1 cited

C*-algebra positive element invertibility criteria in terms of $L_{1}$ -norms equivalence

Andrej Novikov

We prove that the $L_{1}$ -norms associated with a positive element $a$ of a unital C*-algebra are equivalent to the norm of C*-algebra if and only if $a$ is invertible.

math.OA2015★ 11 cited

$L_{1}$ -space for a positive operator affiliated with von Neumann algebra

Andrej Novikov

In this paper we suggest an approach for constructing an L1-type space for a positive selfadjoint operator affiliated with von Neumann algebra. For such operator we intro- duce a s…

math.OA2015★ 11 cited

Characterization of central elements of operator algebras by inequalities

Andrej Novikov, Oleg Tikhonov

We propose a list of inequalities which characterize central elements in von Neumann algebras and C*-algebras.

C*-algebra positive element invertibility criteria in terms of L1​-norms equivalence

L1​-space for a positive operator affiliated with von Neumann algebra

Characterization of central elements of operator algebras by inequalities

C*-algebra positive element invertibility criteria in terms of $L_{1}$ -norms equivalence

$L_{1}$ -space for a positive operator affiliated with von Neumann algebra