{"title":"Ilwoo Cho","description":null,"products":[{"product_id":"spectral-properties-of-certain-operators-on-a-free-hilbert-space-and-the-semicir-book-ilwoo-cho-9780443151750","title":"Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law","description":"In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space” Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how “inside” actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49746571395345,"sku":"NGR9780443151750","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52688667345169,"sku":"NLS9780443151750","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/044315175X.jpg?v=1750697803"},{"product_id":"classical-clifford-algebras-book-ilwoo-cho-9781032637112","title":"Classical Clifford Algebras","description":"\u003cp\u003e\u003cb\u003e\u003ci\u003eClassical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches\u003c\/i\u003e\u003c\/b\u003e offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods, the author sheds new light on the intrinsic connections between Clifford algebras and various mathematical domains. This monograph should be an essential addition to the library of any researchers interested in Clifford Algebras or Algebraic Geometry more widely.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFeatures\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eIncludes multiple examples and applications\u003c\/li\u003e\n\u003cli\u003eSuitable for postgraduates and researchers working in Algebraic Geometry\u003c\/li\u003e\n\u003cli\u003eTakes an innovative approach to a well-established topic\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51213060342033,"sku":"NIN9781032637112","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52598130049297,"sku":"NLS9781032637112","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B0CK5Q2X3Y.jpg?v=1786442756"},{"product_id":"banach-space-operators-on-c-probability-spaces-generated-by-multi-semicircular-e-book-ilwoo-cho-9781032199016","title":"Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements","description":"This book introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C -probability spaces.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51221325775121,"sku":"NIN9781032199016","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52451588505873,"sku":"NLS9781032199016","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1032199016.jpg?v=1786061120"},{"product_id":"free-random-variables-book-ilwoo-cho-9781041103462","title":"Free Random Variables","description":"\u003cp\u003e\u003cb\u003e\u003cem\u003eFree Random Variables: Free Distributions Dictated by the Semicircular Law \u003c\/em\u003e\u003c\/b\u003eis particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFeatures\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eIncludes multiple examples and applications\u003c\/li\u003e\n\u003cli\u003eSuitable for postgraduates and researchers\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51599659925777,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51599660286225,"sku":"NGR9781041103462","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52658875891985,"sku":"NLS9781041103462","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52725055619345,"sku":"NIN9781041103462","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1041103468.jpg?v=1786094692"},{"product_id":"algebras-graphs-and-their-applications-book-ilwoo-cho-9781466590199","title":"Algebras, Graphs and their Applications","description":"\u003cp\u003eThis book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, \u003ci\u003eK\u003c\/i\u003e-theory, and index theory.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52472897437969,"sku":"NLS9781466590199","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53036514803985,"sku":"NIN9781466590199","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781466590199.jpg?v=1786105270"},{"product_id":"constructive-analysis-of-semicircular-elements-book-ilwoo-cho-9781032448336","title":"Constructive Analysis of Semicircular Elements","description":"\u003cp\u003eThis book not only examines the constructions and free-probabilistic properties of semicircular elements, as defined within the text, but also considers certain Banach-space operators acting on these semicircular elements and shows how they deform (i.e., preserve-or-distort) the semicircular law induced by orthogonal projections.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFEATURES\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eSuitable for graduate students and professional researchers in operator theory and\/or analysis\u003c\/li\u003e\n\u003cli\u003eNumerous applications in related scientific fields and areas\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52595345752337,"sku":"NLS9781032448336","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781032448336.jpg?v=1786615312"},{"product_id":"fractals-on-graphs-book-ilwoo-cho-9783639194470","title":"Fractals on Graphs","description":"Recently, graphs have been studied and applied in various math and science fileds. In this monograph, we consider graphs with fractal property. Starting with graphs (combinatorial objects), we construct the corresponding groupoids (algebraic objects). The fractal property of graphs and groupoids is detected by the automata labelings (automata-theoretic objects). The groupoids with fractal property will be called graph fractaloids. By defining suitable representations of groupoids, we establish von Neumann algebras (operator-algebraic objects). As elements of the von Neumann algebras, we define the labeling operators (operator-theoretic objects) of graph fractaloids. In Part 1, by computing the free moments (free-probabilistic data) of the operators, we verify how the graph fractaloids act in the von Neumann algebras. Also, based on such computations, we can classify the graph fractaloids, in Part 2. Our classification shows the richness of graph fractaloids which are not fractal groups, in general. In Part 3, we show that, for any finite graph, there always exists a finite fractal graph containing it as its part.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":53085198582033,"sku":"NIN9783639194470","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783639194470.jpg?v=1769982769"},{"product_id":"operator-theoretic-approaches-to-arithmetic-functional-analysis-book-ilwoo-cho-9781041371007","title":"Operator-Theoretic Approaches to Arithmetic Functional Analysis","description":"\u003cp\u003eThis monograph explores the relationships and connections among number theory, operator theory, operator algebra theory, and representation theory within free-probabilistic frameworks. Arithmetic functions are examined as Krein-space operators under suitable representation, extending to free probability through the determination of point-evaluation linear functionals for primes.\u003c\/p\u003e\u003cp\u003eGraduate students and researchers with interests in the aforementioned mathematical fields or related applied scientific areas will discover novel approaches to understanding these topics.\u003c\/p\u003e\u003cp\u003eUnderstanding the images of arithmetic functions at primes as forms of matrices or operators acting Krein spaces will be of special interest to readers looking for new methods to analyse them mathematically.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":54284627968273,"sku":"NGR9781041371007","price":0.0,"currency_code":"GBP","in_stock":false}]}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-ilwoo-cho.oembed","provider":"World of Books ","version":"1.0","type":"link"}