Automatic continuity of multiplicative polynomial operators [PDF]
Journal of Mahani Mathematical Research, 2023 This paper deals with the automatic continuity of multiplicative polynomial operators on a class of topological algebras. Several results are derived in this direction. We also support our results by some examples.
Ali Naziri-Kordkandi
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Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]
Sahand Communications in Mathematical Analysis, 2022 We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
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Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras
Communications in Advanced Mathematical Sciences, 2022 In 1971 R. L. Carpenter proved that every derivation on a semisimple commutative Frechet algebra with identity is continuous. The concept of almost derivations on Frechet algebras is introduced in this article. Also, R. L.
Sıva G, Ganesa Moorthy C
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Synthesis of a digital PID controller to control the temperature in the agricultural products drying chamber [PDF]
E3S Web of Conferences, 2023 This article provides information and results of measurement and automatic temperature control with a proportional-integral-derivative controller. A microcontroller including special software is used for automatic control the temperature at a given value.
Djuraev Khayrullo, Uvayzov Saidjon
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Jewell-Sinclair theorem and the automatic continuity of a derivation [PDF]
مجلة التربية والعلم, 2010 Villena's theorem ensure the automatic continuity of a derivation on a non-associative H*-algebra with zero annihilator. In this paper, we formulate the Jewell-Sinclair theorem in a non-associative content, and we show that the Villena's theorem may be ...
Amir A. Mohammed +2 more
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Pettis property for Polish inverse semigroups
Applied General Topology, 2023 We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana +2 more
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Automatic Continuity of Dense Range Homomorphisms into Multiplicatively Semisimple Complete Normed Algebras [PDF]
مجلة التربية والعلم, 2014 The following open problem state that: If is a dense range homomorphism from Banach algebra into Banach algebra such that is semisimple. Is automatically continuous?
RUQAYAH BALO
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New Condition of Automatic Continuity of Dense Range Homomorphisms on Jordan – Banach Algebras [PDF]
مجلة التربية والعلم, 2018 The following open problem stated that, if T: A⟶B is a dense range homomorphism between Banach algebras A and B such that B is semi-simple. Is T automatically continuous? (see [1]).
RUQAYAH N. BALO +2 more
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The automatic continuity for particular type of homomorphism nonassociative algebras [PDF]
مجلة التربية والعلم, 2008 Rodriguez conjecture ensures the automatic continuity of a dense range homomorphism from a complete normed nonassociative algebra into another one with zero strong radical. Rodriguez conjecture still unsolved.
Roqya Ballo, Amer Mohammed
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Joint Continuity of Bi-multiplicative Functionals [PDF]
Sahand Communications in Mathematical Analysis, 2021 For Banach algebras $\mathcal{A}$ and $\mathcal{B}$, we show that if $\mathfrak{A}=\mathcal{A}\times \mathcal{B}$ is unital, then each bi-multiplicative mapping from $\mathfrak{A}$ into a semisimple commutative Banach algebra $\mathcal{D}$ is jointly ...
Abbas Zivari-Kazempour, Mohamad Valaei
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