Norm-Additive Maps on the Positive Definite Cone of a $$\varvec{C^{*}}$$C∗-Algebra
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DOI: 10.1007/s00025-018-0916-4
Abstract: In this paper, we determine the structure of Schatten p-norm additive maps on the set of positive invertible elements of a $$C^{*}$$C∗-algebra carrying a faithful normalized trace. It turns out that any such transformation originates… read more here.
Keywords: positive definite; maps positive; cone varvec; additive maps ... See more keywords
Signature maps from positive cones on algebras with involution
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DOI: 10.4153/s0008414x25101806
Abstract: We introduced positive cones in an earlier paper as a notion of ordering on central simple algebras with involution that corresponds to signatures of hermitian forms. In the current paper we describe signatures of hermitian… read more here.
Keywords: signature maps; positive cones; cones algebras; algebras involution ... See more keywords