Homotonic algebras

• Autorzy: Michael Cwikel , Moshe Goldberg
• Języki publikacji: EN

Abstrakty

EN

An algebra 𝓐 of real- or complex-valued functions defined on a set T shall be called homotonic if 𝓐 is closed under taking absolute values, and for all f and g in 𝓐, the product f × g satisfies |f × g| ≤ |f| × |g|. Our main purpose in this paper is two-fold: to show that the above definition is equivalent to an earlier definition of homotonicity, and to provide a simple inequality which characterizes submultiplicativity and strong stability for weighted sup norms on homotonic algebras.

Kategorie tematyczne

• 16B99: None of the above, but in this section
• 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory
• 17A05: Power-associative rings
• 17A15: Noncommutative Jordan algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 195
• Numer: 3
• Strony: 287-295

Daty

wydano

2009

Twórcy

autor

Michael Cwikel

• Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel

autor

Moshe Goldberg

• Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel

Identyfikatory

DOI

10.4064/sm195-3-7