𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Linear Maps Preserving Operators of Local Spectral Radius Zero

✍ Scribed by Constantin Costara


Book ID
113014246
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
224 KB
Volume
73
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Linear Maps Preserving the Spectral Radi
✍ Matej Brešar; Peter Šemrl 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 402 KB

Let X be a complex Banach space. If 8: B(X) Ä B(X) is a surjective linear map such that A and 8(A) have the same spectral radius for every A # B(X), then 8=c3 where 3 is either an algebra-automorphism or an antiautomorphism of B(X) and c is a complex constant such that |c|=1.

Linear maps preserving the essential spe
✍ M. Bendaoud; A. Bourhim; M. Sarih 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 92 KB

Let L(H) be the algebra of all bounded linear operators on an infinite dimensional complex Hilbert H. We characterize linear maps from L(H) onto itself that preserve the essential spectral radius.

Linear operators preserving the sign-rea
✍ Bojana Zalar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 105 KB

Define the sign-real spectral radius of a real n × n matrix A as ρ s 0 (A) = max S∈S ρ 0 (SA), where ρ 0 (A) = max{|λ|; λ a real eigenvalue of A} is the real spectral radius of A and S denotes the set of signature matrices, i.e. S = {S; |S| = I}, the absolute value of matrices being meant entrywise.

Nonlinear maps preserving numerical radi
✍ Jinchuan Hou; Kan He; Xiuling Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 215 KB

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