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AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2017
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
openaire   +6 more sources

Improved AIS data simplification algorithm for extracting typical routes considering motion continuity. [PDF]

open access: yesPLoS ONE
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
doaj   +2 more sources

Dual-Objective Optimization of G3-Continuous Quintic B-Spline Trajectories for Robotic Ultrasonic Testing [PDF]

open access: yesSensors
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
doaj   +2 more sources

Automatic continuity of multiplicative polynomial operators [PDF]

open access: yesJournal 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
doaj   +1 more source

Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]

open access: yesSahand 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
doaj   +1 more source

Synthesis of a digital PID controller to control the temperature in the agricultural products drying chamber [PDF]

open access: yesE3S 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
doaj   +1 more source

Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras

open access: yesCommunications 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
doaj   +1 more source

Pettis property for Polish inverse semigroups

open access: yesApplied 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
doaj   +1 more source

On an Approximate Solution to Rodriguez Conjecture [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2006
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
doaj   +1 more source

Joint Continuity of Bi-multiplicative Functionals [PDF]

open access: yesSahand 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
doaj   +1 more source

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