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Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 461/5 ( reviews)

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Book Synopsis Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by : L. Molnár

Download or read book Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces written by L. Molnár. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt: The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is placed on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. In addition, local automorphisms and local isometries of operator algebras and function algebras are discussed in detail.

Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces

2007-01-01 Electronic books
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Release : 2007-01-01
Genre : Electronic books
Kind : eBook
Book Rating : 971/5 ( reviews)

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Book Synopsis Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by : Lajos Molnâar

Download or read book Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces written by Lajos Molnâar. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

Simplicial Complexes of Graphs

2007-12-10 Mathematics
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Release : 2007-12-10
Genre : Mathematics
Kind : eBook
Book Rating : 593/5 ( reviews)

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Book Synopsis Simplicial Complexes of Graphs by : Jakob Jonsson

Download or read book Simplicial Complexes of Graphs written by Jakob Jonsson. This book was released on 2007-12-10. Available in PDF, EPUB and Kindle. Book excerpt: A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.

Stochastic Calculus for Fractional Brownian Motion and Related Processes

2008-04-12 Mathematics
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Release : 2008-04-12
Genre : Mathematics
Kind : eBook
Book Rating : 739/5 ( reviews)

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Book Synopsis Stochastic Calculus for Fractional Brownian Motion and Related Processes by : Yuliya Mishura

Download or read book Stochastic Calculus for Fractional Brownian Motion and Related Processes written by Yuliya Mishura. This book was released on 2008-04-12. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.

Evolution Algebras and Their Applications

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis Evolution Algebras and Their Applications by : Jianjun Paul Tian

Download or read book Evolution Algebras and Their Applications written by Jianjun Paul Tian. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.

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