Results 51 to 60 of about 253 (65)

The Q-operator for Root-of-Unity Symmetry in Six Vertex Model

open access: yes, 2006
We construct the explicit $Q$-operator incorporated with the $sl_2$-loop-algebra symmetry of the six-vertex model at roots of unity. The functional relations involving the $Q$-operator, the six-vertex transfer matrix and fusion matrices are derived from ...
Albertini G   +14 more
core   +1 more source

On superstability of derivations in Banach algebras

open access: yesOpen Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

Combined system of additive functional equations in Banach algebras

open access: yesOpen Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj   +1 more source

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen   +2 more
doaj   +1 more source

On the Ulam-Hyers stability of a quadratic functional equation

open access: yesJournal of Inequalities and Applications, 2011
The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil   +2 more
doaj  

Approximation of the multiplicatives on random multi-normed space. [PDF]

open access: yesJ Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source

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