Article
The Uniqueness of the Adjoint Operation II
Linear Algebra and its Applications
Document Type
Article
Publication Date
6-1-1987
Disciplines
Abstract
Let H be a complex, finite-dimensional Hilbert space, and let L(H) denote the set of linear transformations mapping H into itself. For certain interesting subsets A(H) of L(H) [nonsingular transformations and L(H) are examples], the functions h: A(H) → L(H) which have the properties h(ST) = h(T)h(S) and h(S)S ⩾ 0 are characterized.
Digital Object Identifier (DOI)
https://doi.org/10.1016/0024-3795(87)90065-6
Citation Information
Hochwald, S.H. (1987) The uniqueness of the adjoint operation II. Linear Algebra and its Applications 91, 107-119. https://doi.org/10.1016/0024-3795(87)90065-6