✦ LIBER ✦

On positive linear maps preserving invertibility

✍ Scribed by M-D. Choi; D. Hadwin; E. Nordgren; H. Radjavi; P. Rosenthal

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 423 KB
Volume: 59
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(84)90060-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Linear Maps Preserving Generalized Inver

Linear Maps Preserving Generalized Invertibility

✍ Mostafa Mbekhta; Leiba Rodman; Peter Šemrl 📂 Article 📅 2006 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 210 KB

Invertibility preserving linear maps on

Invertibility preserving linear maps on J-subspace lattice algebras

✍ Pengtong Li; Fangyan Lu; Jipu Ma 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 136 KB

Linear Maps Preserving Invertibility or

Linear Maps Preserving Invertibility or Related Spectral Properties

✍ Jin Chuan Hou; Peter Šemrl 📂 Article 📅 2003 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 220 KB

Additive Maps on Matrix Algebras Preserv

Additive Maps on Matrix Algebras Preserving Invertibility or Singularity

✍ Ajda Fošner; Peter Šemrl 📂 Article 📅 2005 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 123 KB

On invertibility preserving linear mappi

On invertibility preserving linear mappings, simultaneous triangularization and Property L

✍ Erik Christensen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 133 KB

Let A be a unital matrix algebra, ϕ : A → M n (C) a unital linear mapping and B the algebra generated by ϕ(A). The mapping ϕ is a homomorphism modulo the Jacobson radical in B if and only if for k = dim(B)dim(ϕ(A)) + 3 the mapping ϕ ⊗ id : A ⊗ M k (C) → B ⊗ M k (C) preserves invertibility. This resu

On a positive linear map preserving abso

On a positive linear map preserving absolute values

✍ Leroy B. Beasley; An-Hyun Kim; Woo Young Lee 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 447 KB

Suppose m is an n X 12 (n 2 2) matrix algebra over a C\*-algebra g, and Q? is a C\*-algebra. If p : i?X + '23 is a positive, disjoint linear map, then p preserves absolute values. In particular, for a linear map rp : '?I + '$3 of P-algebras, p preserves absolute values if and only if it is positive