On certain products of Banach algebras with applications to harmonic analysis

Mehdi Sangani Monfared. "On certain products of Banach algebras with applications to harmonic analysis." Studia Mathematica 178.3 (2007): 277-294. <http://eudml.org/doc/286454>.

@article{MehdiSanganiMonfared2007,
abstract = {Given Banach algebras A and B with spectrum σ(B) ≠ ∅, and given θ ∈ σ(B), we define a product $A ×_\{θ\} B$, which is a strongly splitting Banach algebra extension of B by A. We obtain characterizations of bounded approximate identities, spectrum, topological center, minimal idempotents, and study the ideal structure of these products. By assuming B to be a Banach algebra in ₀(X) whose spectrum can be identified with X, we apply our results to harmonic analysis, and study the question of spectral synthesis, and primary ideals.},
author = {Mehdi Sangani Monfared},
journal = {Studia Mathematica},
keywords = {Lau product; spectral synthesis},
language = {eng},
number = {3},
pages = {277-294},
title = {On certain products of Banach algebras with applications to harmonic analysis},
url = {http://eudml.org/doc/286454},
volume = {178},
year = {2007},
}

TY - JOUR
AU - Mehdi Sangani Monfared
TI - On certain products of Banach algebras with applications to harmonic analysis
JO - Studia Mathematica
PY - 2007
VL - 178
IS - 3
SP - 277
EP - 294
AB - Given Banach algebras A and B with spectrum σ(B) ≠ ∅, and given θ ∈ σ(B), we define a product $A ×_{θ} B$, which is a strongly splitting Banach algebra extension of B by A. We obtain characterizations of bounded approximate identities, spectrum, topological center, minimal idempotents, and study the ideal structure of these products. By assuming B to be a Banach algebra in ₀(X) whose spectrum can be identified with X, we apply our results to harmonic analysis, and study the question of spectral synthesis, and primary ideals.
LA - eng
KW - Lau product; spectral synthesis
UR - http://eudml.org/doc/286454
ER -