Some Properties of Bounded Linear Operator Over L_p Space

摘要

We shall extend the concepts of the kernel and the image of the homomorphism φ in Abstract Algebra to the bounded linear operator of L_p space. We can obtain some results. Definition 1 let A be a L_p space, B(?)A. If B is a L_p space by the operation and the norm in A, then the subset B of A is called a L_p subspace of A.