Solution properties of some classes of operator equations in hilbert spaces

• Main Authors: Charoensawan,P., Phóng,V., Sanh,N.V.
• Format: Article
• Published: World Scientific Publishing Co. Pte Ltd 2015
• Subjects: Mathematics (all)
• Online Access: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84857543343&origin=inward; http://cmuir.cmu.ac.th/handle/6653943832/38622
• Institution: Chiang Mai University

We study properties of solutions of the operator equation ℒu = f, u, f ⋯ H,(*), where ℒ a closable linear operator on a Hilbert space H, such that there exists a self-adjoint operator D on H, with the resolution of identity E(·), which commutes with ℒ. We are interested in the question of regular ad...