Homotonic algebras

Michael Cwikel, and Moshe Goldberg. "Homotonic algebras." Studia Mathematica 195.3 (2009): 287-295. <http://eudml.org/doc/284830>.

@article{MichaelCwikel2009,
abstract = {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.},
author = {Michael Cwikel, Moshe Goldberg},
journal = {Studia Mathematica},
keywords = {homotonic algebras; weighted sup-norms; norm submultiplicativity; norm strong stability},
language = {eng},
number = {3},
pages = {287-295},
title = {Homotonic algebras},
url = {http://eudml.org/doc/284830},
volume = {195},
year = {2009},
}

TY - JOUR
AU - Michael Cwikel
AU - Moshe Goldberg
TI - Homotonic algebras
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 3
SP - 287
EP - 295
AB - 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.
LA - eng
KW - homotonic algebras; weighted sup-norms; norm submultiplicativity; norm strong stability
UR - http://eudml.org/doc/284830
ER -