๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Maps preserving numerical radius or cross norms of products of self-adjoint operators

โœ Scribed by Kan He; Jin Chuan Hou; Xiu Ling Zhang

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
264 KB
Volume
26
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Nonlinear maps preserving numerical radi
Nonlinear maps preserving numerical radius of indefinite skew products of operators
โœ Jinchuan Hou; Kan He; Xiuling Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

Let H be a complex Hilbert space of dimension greater than 2 and J โˆˆ B(H) be an invertible self-adjoint operator. Denote by A โ€  = J -1 A \* J the indefinite conjugate of A โˆˆ 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

Preservers of spectral radius, numerical
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
โœ Chi-Kwong Li; Leiba Rodman ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

Let M + n be the set of entrywise nonnegative n ร— n matrices. Denote by r(A) the spectral radius (Perron root) of A โˆˆ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S โˆˆ M + n with exactly one positive entry in each row and each co