Recent content by ellilu11

  1. E

    Graduate Adjoint and inverse of product of operators

    Okay thanks. Do you have a reference where I can learn about the Banach space case?
  2. E

    Graduate Adjoint and inverse of product of operators

    I know for two linear operators $$H_1, H_2$$ between finite dimensional spaces (matrices) we have the relations (assuming their adjoints/inverses exist): $$(H_1 H_2)^* = H_2^* H_1^*$$ and $$(H_1 H_2)^{-1} = H_2^{-1} H_1^{-1}$$ but does this extend to operators in infinite dimensions? Thanks.