The Uniqueness of the Adjoint Operation II

Document Type

Article

Publication Date

6-1987

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.

Publication Title

Linear Algebra and its Applications

Volume

91

First Page

107

Last Page

1198

Digital Object Identifier (DOI)

https://doi.org/10.1016/0024-3795(87)90065-6

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