✦ LIBER ✦

Maps preserving peripheral spectrum of generalized products of operators

✍ Scribed by Zhang, Wen; Hou, Jinchuan

Book ID: 122232642
Publisher: Elsevier Science
Year: 2015
Tongue: English
Weight: 932 KB
Volume: 468
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2014.01.037

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Let H be a complex Hilbert space of dimension greater than 2 and J ∈ B(H) be an invertible self-adjoint operator. Denote by A † = J -1 A \* J the indefinite conjugate of A ∈ B(H) with respect to J and denote by w(A) the numerical radius of A. Let W and V be subsets of B(H) which contain all rank one