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Global minimum and orthogonality in Cp-classes

✍ Scribed by Salah Mecheri

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 130 KB
Volume: 280
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310514

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✦ Synopsis

In this paper we use recent results [14] to establish various characterizations of the global minimum of the map

where ψ : U → Cp is a map defined by ψ(X) = S+φ(X), with φ : B(H) → B(H) a linear map and S ∈ Cp, and U = {X ∈ B(H) : φ(X) ∈ Cp}. Further, we apply these results to characterize the operators which are orthogonal to the range of elementary operators.

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