Semicircular elements induced by p-adic number fields [PDF]
Opuscula Mathematica, 2017 In this paper, we study semicircular-like elements, and semicircular elements induced by \(p\)-adic analysis, for each prime \(p\). Starting from a \(p\)-adic number field \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for
Ilwoo Cho, Palle E. T. Jorgensen
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Banach *-algebras generated by semicircular elements induced by certain orthogonal projections [PDF]
Opuscula Mathematica, 2018 The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)
Ilwoo Cho, Palle E. T. Jorgensen
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Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras [PDF]
Mathematics, 2017 In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
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Deformation of semicircular and circular laws via p-adic number fields and sampling of primes [PDF]
Opuscula Mathematica, 2019 In this paper, we study semicircular elements and circular elements in a certain Banach \(*\)-probability space \((\mathfrak{LS},\tau ^{0})\) induced by analysis on the \(p\)-adic number fields \(\mathbb{Q}_{p}\) over primes \(p\).
Ilwoo Cho, Palle E. T. Jorgensen
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Certain ∗-homomorphisms of C∗-algebras and sequences of semicircular elements: A Banach space view
Illinois Journal of Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilwoo Cho, P. Jorgensen
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Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Q p over Primes p
Mathematics, 2019 In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p .
Ilwoo Cho, Palle Jörgensen
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Banach-Space Operators Acting on Semicircular Elements Induced by p-Adic Number Fields over Primes p
Mathematics, 2019 In this paper, we study certain Banach-space operators acting on the Banach *-probability space ( LS , τ 0 ) generated by semicircular elements Θ p , j induced by p-adic number fields Q p over the set P of all primes p.
Ilwoo Cho
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High-Sensitivity Plasmonic Temperature Sensor Based on a MIM Waveguide-Coupled TDSC Resonator [PDF]
MicromachinesThis paper presents a nanoscale sensor based on a metal–insulator–metal (MIM) waveguide coupled with a composite resonant cavity, where the ring resonator is embedded with triangular, semicircular, and rectangular structural elements.
Yuanyuan Gao +6 more
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Semicircular Patch-Embedded Vivaldi Antenna for Miniaturized UWB Radar Sensors
Sensors, 2020 A microstrip-to-slot line-fed miniaturized Vivaldi antenna using semicircular patch embedment is proposed in this study. The conventional Vivaldi antenna has ultrawide bandwidth, but suffers from low gain in the low-frequency band.
Jungwoo Seo, Jae Hee Kim, Jungsuek Oh
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