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  • Free Random Variables

    Free Distributions Dictated by the Semicircular Law

    par Ilwoo Cho ...
    Collections series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Free Random Variables: Free Distributions Dictated by the Semicircular Law is 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.FeaturesIncludes ... En savoir plus

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  • Classical Clifford Algebras

    Operator-Algebraic and Free-Probabilistic Approaches

    par Ilwoo Cho ...
    Collections series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Classical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches 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 ... En savoir plus

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  • Constructive Analysis of Semicircular Elements

    From Orthogonal Projections to Semicircular Elements

    par Ilwoo Cho ...
    Collections series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    This 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.FEATURESSuitable for graduate students and professional researchers ... En savoir plus

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  • Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law

    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 ... En savoir plus

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  • Concise Introduction to Logic and Set Theory

    Collections series Mathematics and its Applications
    This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics.The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and ... En savoir plus

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  • Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

    par Ilwoo Cho ...
    Collections series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements 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.FeaturesSuitable for graduate students and professional ... En savoir plus

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    Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be ... En savoir plus

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