{"product_id":"biorthogonal-systems-in-banach-spaces-9780387689142","title":"Biorthogonal Systems in Banach Spaces","description":"\u003cp\u003e • Author(s): Petr Hajek\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe main theme of this book is the relation between the global structure\u003cbr\u003eof Banach spaces and the various types of generalized \"coordinate\u003cbr\u003esystems\" - or \"bases\" - they possess. This subject is not new and has\u003cbr\u003ebeen investigated since the inception of the study of Banach spaces. In\u003cbr\u003ethis book, the authors systematically investigate the concepts of\u003cbr\u003eMarkushevich bases, fundamental systems, total systems and their\u003cbr\u003evariants. The material naturally splits into the case of separable\u003cbr\u003eBanach spaces, as is treated in the first two chapters, and the\u003cbr\u003enonseparable case, which is covered in the remainder of the book. This\u003cbr\u003ebook contains new results, and a substantial portion of this material\u003cbr\u003ehas never before appeared in book form. The book will be of interest to\u003cbr\u003eboth researchers and graduate students.\u003c\/p\u003e \u003cp\u003eTopics covered in this book include: \u003c\/p\u003e \u003cp\u003e- Biorthogonal Systems in Separable Banach Spaces\u003cbr\u003e- Universality and Szlenk Index\u003cbr\u003e- Weak Topologies and Renormings\u003cbr\u003e- Biorthogonal Systems in Nonseparable Spaces\u003cbr\u003e- Transfinite Sequence Spaces\u003cbr\u003e- Applications\u003c\/p\u003e \u003cp\u003ePetr Hájek is Professor of Mathematics at the Mathematical Institute of\u003cbr\u003ethe Academy of Sciences of the Czech Republic. Vicente Montesinos is\u003cbr\u003eProfessor of Mathematics at the Polytechnic University of\u003cbr\u003eValencia, Spain. Jon Vanderwerff is Professor of Mathematics at La\u003cbr\u003eSierra University, in Riverside, California. Václav Zizler is Professor\u003cbr\u003eof Mathematics at the Mathematical Institute of the Academy of Sciences\u003cbr\u003eof the Czech Republic.\u003cbr\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45275221328023,"sku":"9780387689142","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780387689142.webp?v=1769282260","url":"https:\/\/atlanticbooks.com\/products\/biorthogonal-systems-in-banach-spaces-9780387689142","provider":"Atlantic Books","version":"1.0","type":"link"}