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Spectral pictures of Aluthge transforms of operators

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

Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
427 KB
Volume
40
Category
Article
ISSN
0378-620X

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In this paper the authors show that the Aluthge transformation T of a matrix T and a polynomial f satisfy the inclusion relation W C (f ( T )) ⊂ W C (f (T )) for the generalized numerical range if C is a Hermitian matrix or a rank-one matrix.