Cho, Ilwoo; Dutta, Hemen Spectral properties of certain operators on a free Hilbert space and the semicircular law. (English) Zbl 07569574 Amsterdam: Elsevier/Academic Press (ISBN 978-0-443-15175-0/pbk; 978-0-443-15176-7/ebook). x, 154 p. (2023). Reviewer: Ali Talebi (Mashhad) MSC: 47-02 46-02 47C15 46L54 PDFBibTeX XMLCite \textit{I. Cho} and \textit{H. Dutta}, Spectral properties of certain operators on a free Hilbert space and the semicircular law. Amsterdam: Elsevier/Academic Press (2023; Zbl 07569574) Full Text: DOI
Cho, Ilwoo Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\). (English) Zbl 1456.46053 Electron. Res. Arch. 28, No. 2, 739-776 (2020). MSC: 46L54 47L30 11R56 47L55 47S10 PDFBibTeX XMLCite \textit{I. Cho}, Electron. Res. Arch. 28, No. 2, 739--776 (2020; Zbl 1456.46053) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. Deformation of semicircular and circular laws via \(p\)-adic number fields and sampling of primes. (English) Zbl 1452.46052 Opusc. Math. 39, No. 6, 773-813 (2019). MSC: 46L54 46S10 47L30 47L55 60B05 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 39, No. 6, 773--813 (2019; Zbl 1452.46052) Full Text: DOI
Cho, Ilwoo Adelic analysis and functional analysis on the finite adele ring. (English) Zbl 1409.46038 Opusc. Math. 38, No. 2, 139-185 (2018). MSC: 46L54 05E15 11G15 11R47 11R56 46L10 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 38, No. 2, 139--185 (2018; Zbl 1409.46038) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. Semicircular elements induced by \(p\)-adic number fields. (English) Zbl 1398.11144 Opusc. Math. 37, No. 5, 665-703 (2017). MSC: 11S80 05E15 46L10 46L54 47L30 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 37, No. 5, 665--703 (2017; Zbl 1398.11144) Full Text: DOI
Cho, Ilwoo Free semicircular families in free product Banach \(\ast\)-algebras induced by \(p\)-adic number fields over primes \(p\). (English) Zbl 1359.05138 Complex Anal. Oper. Theory 11, No. 3, 507-565 (2017). MSC: 05E15 11G15 11R47 11R56 46L10 46L54 47L30 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Complex Anal. Oper. Theory 11, No. 3, 507--565 (2017; Zbl 1359.05138) Full Text: DOI
Cho, Ilwoo \(p\)-adic free stochastic integrals for \(p\)-adic weighted-semicircular motions determined by primes \(p\). (English) Zbl 1406.46058 Lib. Math. (N.S.) 36, No. 2, 65-110 (2016). MSC: 46S10 46L10 46L54 47L30 47L55 11S80 PDFBibTeX XMLCite \textit{I. Cho}, Lib. Math. (N.S.) 36, No. 2, 65--110 (2016; Zbl 1406.46058)
Cho, Ilwoo \(p\)-adic Banach space operators and adelic Banach space operators. (English) Zbl 1428.47032 Opusc. Math. 34, No. 1, 29-65 (2014). MSC: 47L55 05E16 11S80 46S10 47L30 PDFBibTeX XMLCite \textit{I. Cho}, Opusc. Math. 34, No. 1, 29--65 (2014; Zbl 1428.47032) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle \(C^*\)-subalgebras generated by partial isometries. (English) Zbl 1202.46060 J. Math. Phys. 50, No. 2, 023516, 43 pp. (2009). MSC: 46L05 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. Jorgensen}, J. Math. Phys. 50, No. 2, 023516, 43 pp. (2009; Zbl 1202.46060) Full Text: DOI
Cho, Ilwoo; Jorgensen, Palle E. T. \(C^{*}\)-subalgebras generated by a single operator in \(B(H)\). (English) Zbl 1222.46040 Acta Appl. Math. 108, No. 3, 625-664 (2009). MSC: 46L05 47L30 47A05 05C20 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 108, No. 3, 625--664 (2009; Zbl 1222.46040) Full Text: DOI