2014/02/04 by Arup Chattopadhyay, Chattopadhyay, Arup, Kalyan B. Sinha +1
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1402.0792
openalex publication_date 2014/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A natural generalization of Krein's theorem to a pair of commuting tuples (H10,H20) and (H1,H2) of bounded self-adjoint operators in a separable Hilbert space H with Hj-Hj0 = Vj∈ B2(H)(set of all Hilbert-Schmidt operators on H) for j=1,2, leads to a Stokes-like formula under trace. A major ingredient in the proof is the finite-dimensional approximation result for commuting self-adjoint n-tuples of operators, a generalization of Weyl-von Neumann-Berg's theorem.