Some remarks on minimum norm attaining operators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124492
Abstract: Abstract In this paper we investigate continuous linear operators between Banach spaces which attain their minimum norms on the unit sphere. We characterize finite dimensionality of Banach spaces with the help of minimum norm attainment… read more here.
Keywords: minimum norm; norm attaining; continuous linear; attaining operators ... See more keywords
Quantised feedback control for ℒ 2 gain of continuous linear systems with nested quantisation over finite data rate channels
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Control"
DOI: 10.1080/00207179.2025.2496337
Abstract: This paper investigates a quantised control problem concerning the $ \mathcal {L}_{2} $ L2 gain performance of continuous linear time-invariant (LTI) systems with nested quantisation over finite data rate channels. We propose a quantisation method… read more here.
Keywords: nested quantisation; systems nested; gain; quantisation ... See more keywords
Some Realisation of the Banach Space of All Continuous Linear Functionals on ℓ1 Approximated by Weakly Symmetric Continuous Linear Functionals
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DOI: 10.3390/sym17111896
Abstract: A general notion of a weakly symmetric continuous linear functional on a Banach space, in the case where the space is ℓ1 (i.e., the space of all absolutely summable sequences of complex numbers), reduces to… read more here.
Keywords: space; weakly symmetric; linear functionals; banach space ... See more keywords