Cho, Ilwoo; Jorgensen, Palle E. T. Multi variable semicircular processes from \(\ast\)-homomorphisms and operators. (English) Zbl 1510.46040 Alpay, Daniel (ed.) et al., New directions in function theory: from complex to hypercomplex to non-commutative. Selected papers based on the presentations at the conference, Chapman University, Orange, CA, USA, November 21–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 286, 199-242 (2021). MSC: 46L54 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Oper. Theory: Adv. Appl. 286, 199--242 (2021; Zbl 1510.46040) Full Text: DOI
Cho, Ilwoo Free-homomorphic relations on Banach \(*\)-probability spaces generated by semicircular elements induced by natural numbers. (English) Zbl 1478.46058 Complex Anal. Oper. Theory 15, No. 3, Paper No. 53, 44 p. (2021). MSC: 46L53 46L54 46L10 46L40 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 53, 44 p. (2021; Zbl 1478.46058) Full Text: DOI
Cho, Ilwoo Banach-space operators acting on semicircular elements induced by orthogonal projections. (English) Zbl 1459.46053 Complex Anal. Oper. Theory 13, No. 8, 4065-4115 (2019). MSC: 46L10 46L40 46L53 46L54 47L15 47L30 47L55 47B01 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 13, No. 8, 4065--4115 (2019; Zbl 1459.46053) Full Text: DOI
Cho, Ilwoo Matrices induced by arithmetic functions acting on certain Krein spaces. (English) Zbl 1380.05197 Spec. Matrices 5, 258-289 (2017). MSC: 05E15 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Spec. Matrices 5, 258--289 (2017; Zbl 1380.05197) Full Text: DOI
Cho, Ilwoo Representations and corresponding operators induced by Hecke algebras. (English) Zbl 1332.05152 Complex Anal. Oper. Theory 10, No. 3, 437-477 (2016). MSC: 05E15 05E10 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 10, No. 3, 437--477 (2016; Zbl 1332.05152) Full Text: DOI
Cho, Ilwoo On dynamical systems induced by \(p\)-adic number fields. (English) Zbl 1326.05170 Opusc. Math. 35, No. 4, 445-484 (2015). MSC: 46L55 11R56 37A55 37P20 46L54 47L15 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 35, No. 4, 445--484 (2015; Zbl 1326.05170) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. Krein-space representations of arithmetic functions determined by primes. (English) Zbl 1305.05233 Algebr. Represent. Theory 17, No. 6, 1809-1841 (2014). MSC: 05E15 05E10 11G15 11R04 11R09 11R47 11R56 46L10 46L40 46L53 46L54 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Algebr. Represent. Theory 17, No. 6, 1809--1841 (2014; Zbl 1305.05233) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle Actions of arithmetic functions on matrices and corresponding representations. (English) Zbl 1309.46037 Ann. Funct. Anal. 5, No. 2, 90-117 (2014). MSC: 46L53 46L54 47L15 47L30 47L55 05E15 46L10 46L40 11N99 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. Jorgensen}, Ann. Funct. Anal. 5, No. 2, 90--117 (2014; Zbl 1309.46037) Full Text: DOI EMIS
Cho, Ilwoo Free distributional data of arithmetic functions and corresponding generating functions determined by gaps between primes. (English) Zbl 1332.46065 Complex Anal. Oper. Theory 8, No. 2, 537-570 (2014). MSC: 46L54 05E15 11R56 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 8, No. 2, 537--570 (2014; Zbl 1332.46065) Full Text: DOI
Cho, Ilwoo Operators induced by prime numbers. (English) Zbl 1332.46064 Methods Appl. Anal. 19, No. 4, 313-340 (2012). MSC: 46L54 05E15 11R56 46L10 46L40 46L53 47L15 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Methods Appl. Anal. 19, No. 4, 313--340 (2012; Zbl 1332.46064) Full Text: DOI
Cho, Ilwoo Measures on graphs and groupoid measures. (English) Zbl 1146.05047 Complex Anal. Oper. Theory 2, No. 1, 1-28 (2008). MSC: 05C99 18B40 28A75 28B99 28C99 47L90 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 2, No. 1, 1--28 (2008; Zbl 1146.05047) Full Text: DOI arXiv