{"title":"Vladimir Kadets","description":null,"products":[{"product_id":"spear-operators-between-banach-spaces-book-vladimir-kadets-9783319713328","title":"Spear Operators Between Banach Spaces","description":"This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X → Y there exists a modulus-one scalar  ω such that  ǁ G+ωTǁ = 1 + ǁTǁ.  This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L₁. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied.  The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52126528241937,"sku":"NLS9783319713328","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319713328.jpg?v=1757476738"},{"product_id":"series-in-banach-spaces-book-vladimir-kadets-9783764354015","title":"Series in Banach Spaces","description":"Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of its terms is changed is one of the most impressive facts encountered in a university analysis course. The present book is devoted precisely to this aspect of the theory of series whose terms are elements of Banach (as well as other topological linear) spaces. The exposition focuses on two complementary problems. The first is to char- acterize those series in a given space that remain convergent (and have the same sum) for any rearrangement of their terms; such series are usually called uncon- ditionally convergent. The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52130749022481,"sku":"NLS9783764354015","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764354015.jpg?v=1757504512"},{"product_id":"functional-analysis-and-its-applications-book-vladimir-kadets-9780444513731","title":"Functional Analysis and its Applications","description":"The conference on Functional Analysis and Its Applications took place in Lviv, Ukraine and was dedicated to Polish mathematician Stefan Banach. This book contains scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52334406304017,"sku":"NLS9780444513731","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780444513731.jpg?v=1758156781"},{"product_id":"course-in-functional-analysis-and-measure-theory-book-vladimir-kadets-9783319920030","title":"A Course in Functional Analysis and Measure Theory","description":"Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.    Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory.  Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52478101717265,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52478103027985,"sku":"NLS9783319920030","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319920030.jpg?v=1759846655"},{"product_id":"series-in-banach-spaces-book-vladimir-kadets-9783034899420","title":"Series in Banach Spaces","description":"Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. 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The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52667393605905,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52667394195729,"sku":"NLS9783034899420","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034899420.jpg?v=1762282439"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-vladimir-kadets.oembed","provider":"World of Books ","version":"1.0","type":"link"}