Let H be an infinite-dimensional separable Hilbert space, B(H) the algebra of all bounded linear operators on H, and ϕ : B(H) → B(H) a bijective linear map such that ϕ(A) and ϕ(B) are similar for ...

If ϕ : 𝒮 → 𝓣 is a completely positive (cp) linear map of operator systems and if 𝓙 = ker ϕ, then the quotient vector space 𝒮/𝓙 may be endowed with a matricial ordering through which 𝒮/𝓙 has the ...