Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A.

Description: Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A. Ball, Vladimir Bolotnikov Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Publisher Description This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the ideas above to weighted Bergman space multivariable settings. Author Biography Joseph A. Ball is Professor Emeritus at Virginia Tech in Blacksburg, Virginia. He won Virginia Techs Alumni Award for Research Excellence in 1997 and is a member of the 2019 class of Fellows of the American Mathematical Society. He is co-author of Interpolation of Rational Matrix Functions (1990). Vladimir Bolotnikov is Professor of Mathematics at William & Mary in Williamsburg, Virginia. He has published over a hundred papers in operator and function theory. Details ISBN 131651899X ISBN-13 9781316518991 Title Noncommutative Function-Theoretic Operator Theory and Applications Author Joseph A. Ball, Vladimir Bolotnikov Format Hardcover Year 2021 Pages 300 Publisher Cambridge University Press GE_Item_ID:134024347; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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