V. I. Rabanovich

most citedEach n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.OA2016

Every bounded self-ajoint operator is a real linear combination of $4$ orthoprojections

V. Rabanovich

We prove that every bounded self-adjoint operator in Hilbert space is a real linear combination of $4$ orthoprojections. Also we show that operators of the form identity minus comp…

math.RA2016★ 3 cited

Each n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

Ma. Nerissa M. Abara, Dennis I. Merino, Vyacheslav I. Rabanovich +2

An $n \times n$ complex matrix $A$ is called coninvolutory if $A ˉ A = I_{n}$ and skew-coninvolutory if $A ˉ A = - I_{n}$ (which implies that $n$ is even). We prove that each matrix of s…

Every bounded self-ajoint operator is a real linear combination of 4 orthoprojections

Each n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

Every bounded self-ajoint operator is a real linear combination of $4$ orthoprojections