Kaniuth and Lau survey roughly 50 years of research into the role that Fourier and Fourier-Stieltjes algebras has played not only in helping clarify the natural of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras
, and operator algebras.
Shatry, Characterization of higher derivations on Banach algebras
, to appear.
As a corollary of Theorem 5, we obtain the following stability result of (6), which generalizes stability result on Banach algebras
Dhage, "A fixed point theorem in Banach algebras
with applications to fractional integral equations," Kyungpook Mathematical Journal, vol.
The study gained momentum after the formulation of the hybrid fixed point principles in Banach algebras
due to Dhage [7, 8].
Let A and B be complex Banach algebras
and let [phi] : A [right arrow] B be a linear map.
Rota-Baxter operators appeared in the work of Baxter  on differential operators on commutative Banach algebras
, being particularly useful in relation to the Spitzer identity.
Lashkarizadeh Bami, The multiplier algebra and BSE property of the direct sum of Banach algebras
M-Ideals in Banach Spaces and Banach Algebras
. Lecture Notes in Mathematics, vol.
The main objective of the present study is to establish an existence result for the problem (1) under Lipschitz and Caratheodory conditions by applying a fixed point theorem in Banach algebras
due to Dhage .
By the middle of the summer of 1958 I finished writing my Diploma thesis: a theorem of decomposition of an anti-symmetric Banach algebra
into a direct sum of two symmetric Banach algebras
which Foias and myself proved.