Banach algebra homomorphisms via orthogonal projections

• Autorzy: Herzog G. , Schmoeger C.
• Języki publikacji: EN

Abstrakty

EN

Let A be a unital complex Banach algebra with unit e, and p1,... ,pn a collection of orthogonal projections with sum e. The aim of this note is to investigate the close connections of properties of a is an element of A and of (piapj) ia an element of Mn(A), where Mn(A) denotes the matrix algebra of all n x n matrices with entries in A.

Słowa kluczowe

EN

matrix algebra; Banach algebra; orthogonal projections; spectral properties

PL

algebra macierzy; algebra Banacha; rzuty prostopadłe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 1
• Strony: 137--148
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Herzog G.

autor

Schmoeger C.

• Mathematisches Institut I Universitat Karlsruhe D-76128 Karlsruhe, Germany,

Bibliografia

• [1] B. Aupetit, A Primer on Spectral Theory, Springer, New York (1991).
• [2] F. F. Bonsall, J. Duncan, Complete Normed Algebras, Springer, New York (1973).
• [3] H. N. Salas, Gershgorin's Theorem for matrices of operators, Linear Algebra Appl. 291 (1999), 15-36.
• [4] Ch. Schmoeger, The punctured neighbourhood theorem in Banach algebras, Proc. Roy. Irish. Acad. 91 A (1991), 205-218.