Let X=L? [0, 1] and þeLº [0, 1] and A bethe operator on X given by Ax =þx, xeXshow that the operator B : X→X defined byBx = 6x, xeX, is the adjoint of A. Whereis the complex conjugate of o.

Given: X = L20,1 and ϕ ∈ L∞0,1 and A is an operator on X given by Ax = ϕx , x∈X. We have to show…

Answered: Let X=L² [0, 1] and peLº [0, 1] and A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let X=L² [0, 1] and peLº [0, 1] and A be the operator on X given by Ax =4x, xeX show that the operator B : X→X defined by Bx = 6x, xeX, is the adjoint of A. Where 5 is the complex conjugate of o.