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Aluthge transforms of operators

✍ Scribed by Il Bong Jung; Eungil Ko; Carl Pearcy

Publisher: SP Birkhäuser Verlag Basel
Year: 2000
Tongue: English
Weight: 550 KB
Volume: 37
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01192831

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Let T ∈ B(H) be an invertible operator with polar decomposition T = UP and B ∈ B(H) commute with T . In this paper we prove that |||P λ BUP 1-λ ||| |||BT |||, where ||| • ||| is a weakly unitarily invariant norm on B(H) and 0 λ 1. As the consequence of this result, we have |||f (P λ UP 1-λ )||| |||f