AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS [PDF]
We present a general framework for automatic continuity results for groups of isometries of metric spaces. In particular, we prove automatic continuity property for the groups of isometries of the Urysohn space and the Urysohn sphere, i.e. that any homomorphism from either of these groups into a separable group is continuous. This answers a question of
Marcin Sabok
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Improved AIS data simplification algorithm for extracting typical routes considering motion continuity. [PDF]
Automatic Identification System (AIS) data provides crucial information about vessel trajectories. However, raw AIS data is often highly redundant, containing overlapping and repetitive routes, which complicates its direct use in maritime applications ...
Jin He, Jinjia Ruan, Yao Tong
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Dual-Objective Optimization of G3-Continuous Quintic B-Spline Trajectories for Robotic Ultrasonic Testing [PDF]
To address the challenges of unstable motion and insufficient detection accuracy in robotic scanning trajectories, particularly under high curvature and irregular shape conditions during ultrasonic testing of complex free-form surface workpieces, this ...
Pengzhi Ma, Chunguang Xu
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Automatic continuity of multiplicative polynomial operators [PDF]
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]
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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Synthesis of a digital PID controller to control the temperature in the agricultural products drying chamber [PDF]
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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Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras
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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Pettis property for Polish inverse semigroups
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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On an Approximate Solution to Rodriguez Conjecture [PDF]
Rickart Theorem ensures the automatic continuity of a dense range homomorphism from a Banach algebra into a strongly Semisimple Banach algebra. Rodriguez conjecture is an extension of Rickart theorem in order to include the nonassociative algebras as ...
Amir Mohammed, Ruqiya Balu
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Joint Continuity of Bi-multiplicative Functionals [PDF]
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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