Temat: semicircular elements - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Banach *-algebras generated by semicircular elements induced by certain orthogonal projections
Autorzy:: Cho, I.
Jorgensen, P. E. T.
Powiązania:: https://bibliotekanauki.pl/articles/256025.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: free probability
orthogonal projections
weighted-semicircular elements
semicircular elements
Opis:: 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*-probability space.
Źródło:: Opuscula Mathematica; 2018, 38, 4; 501-535
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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: 4.

Tytuł:: Spectral properties of certain operators on the free Hilbert space ℑ [H1, . . . , HN] and the semicircular law
Autorzy:: Cho, Ilwoo
Powiązania:: https://bibliotekanauki.pl/articles/2049008.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: separable Hilbert spaces
free Hilbert spaces
jump operator
shift operators
jump-shift operators
semicircular elements
Opis:: In this paper, we fix N -many l$\text{}_{2}$-Hilbert spaces Hk whose dimensions are $n_{k} \in \mathbb{N}^{\infty} = \mathbb{N} \cup \{\infty\}$ for $k = 1, \ldots, N \in \mathbb{N} \backslash \{1\}$. And then, construct a Hilbert space $\mathfrak{F} = \mathfrak{F}[H_{1}, \ldots, H_{N}]$ induced by $H_{1}, \ldots, H_{N}$, and study certain types of operators on $\mathfrak{F}$. In particular, we are interested in so-called jump-shift operators. The main results (i) characterize the spectral properties of these operators, and (ii) show how such operators affect the semicircular law induced by $\bigcup_{k=1}^{N} \mathcal{B}_{k}$, where Bk are the orthonormal bases of $H_{k}$ , for k = 1, . . . , N.
Źródło:: Opuscula Mathematica; 2021, 41, 6; 755-803
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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