Temat: p-adic number fields - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On dynamical systems induced by p-adic number fields
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255788.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: prime fields
p-adic number fields
adele ring
p-adic von Neumann algebras
p-adic dynamical systems
Opis:: In this paper, we construct dynamical systems induced by p-adic number fields Qp. We study the corresponding crossed product operator algebras induced by such dynamical systems. In particular, we are interested in structure theorems, and free distributional data of elements in the operator algebras.
Źródło:: Opuscula Mathematica; 2015, 35, 4; 445-484
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Adelic analysis and functional analysis on the finite Adele ring
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/255134.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: representations
C*-algebras
p-adic number fields
adele ring
finite Adele ring
Opis:: In this paper, we study operator theory on the *-algebra Mp, consisting of all measurable functions on the finite Adele ring Aq, in extended free-probabilistic sense. Even though our *-algebra Mp is commutative, our Adelic-analytic data and properties on Mv are understood as certain free-probabilistic results under enlarged sense of (noncommutative) free probability theory (well-covering commutative cases). From our free-probabilistic model on Aq, we construct the suitable Hilbert-space representation, and study a C*-algebra M-p generated by M-p under representation. In particular, we focus on operator-theoretic properties of certain generating operators on Mp.
Źródło:: Opuscula Mathematica; 2018, 38, 2; 139-185
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: p-adic Banach space operators and adelic Banach space operators
Autorzy:: Cho, I.
Powiązania:: https://bibliotekanauki.pl/articles/254837.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: prime fields
p-adic number fields
adele ring
p-adic Banach spaces
adelic Banach space
p-adic operators
adelic operators
Opis:: In this paper, we study non-Archimedean Banach *-algebras Mp over the p-adic number fields Qp, and MQ over the adele ring AQ. We call elements of Mp, p-adic operators, for all primes p, respectively, call those of MQ, adelic operators. We characterize MQ in terms of Mp’s. Based on such a structure theorem of MQ, we introduce some interesting p-adic operators and adelic operators
Źródło:: Opuscula Mathematica; 2014, 34, 1; 29-65
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
Autorzy:: Cho, Ilwoo
Jorgensen, Palie E. T.
Powiązania:: https://bibliotekanauki.pl/articles/255649.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
primes
p-adic number fields
Banach *-probability spaces semicircular elements
circular elements
truncated linear functionals
Opis:: In this paper, we study semicircular elements and circular elements in a certain Banach *-probability space [formula] induced by analysis on the p-adic number fields Qp over primes p. In particular, by truncating the set P of all primes for given suitable real numbers t < s in R, two different types of truncated linear functionals [formula], and [formula] re constructed on the Banach *-algebra [formula]. We show how original free distributional data (with respect to r°) are distorted by the truncations on P (with respect to [formula], and [formula]). As application, distorted free distributions of the semicircular law, and those of the circular law are characterized up to truncation.
Źródło:: Opuscula Mathematica; 2019, 39, 6; 773-813
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Semicircular elements induced by p-adic number fields
Autorzy:: Cho, I.
Jorgensen, P. E. T.
Powiązania:: https://bibliotekanauki.pl/articles/255340.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
primes
p-adic number fields Qp
Hilbert-space representations
C*-algebras
wighted-semicircular elements
semicircular elements
Opis:: 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 Qp, we construct a Banach *-algebra [formula], for a fixed prime p, and show the generating elements Qpj of [formula] form weighted-semicircular elements, and the corresponding scalar-multiples Θpj of Qpj become semicircular elements, for all j ∈ Z. The main result of this paper is the very construction of suitable linear functionals [formula] on [formula], making Qpj be weighted-semicircular, for all j ∈ Z.
Źródło:: Opuscula Mathematica; 2017, 37, 5; 665-703
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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