{"product_id":"9783319713328","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eKadets, Vladimir; Martín, Miguel; Merí, Javier; Pérez, Antonio\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eThis monograph is devoted to the study of spear operators, that is, bounded linear operators \u003ci\u003eG\u003c\/i\u003e between Banach spaces \u003ci\u003eX\u003c\/i\u003e and \u003ci\u003eY\u003c\/i\u003e satisfying that for every other bounded linear operator \u003ci\u003eT:X\u003c\/i\u003e \u003ci\u003e→\u003c\/i\u003e \u003ci\u003eY\u003c\/i\u003e there exists a modulus-one scalar  \u003ci\u003eω \u003c\/i\u003esuch that\u003c\/div\u003e\u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\u003cp\u003eǁ\u003ci\u003e G\u003c\/i\u003e+ω\u003ci\u003eT\u003c\/i\u003eǁ = 1 + ǁ\u003ci\u003eT\u003c\/i\u003eǁ.\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003eThis 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 \u003ci\u003eL\u003c\/i\u003e\u003ci\u003e₁\u003c\/i\u003e. 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.\u003cbr\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003c\/div\u003e\u003cdiv\u003eThe 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.\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-04-17\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319713328\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-71333-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 164\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369833980044,"sku":"9783319713328","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319713328.jpg?v=1775675646","url":"https:\/\/lateknightbooks.com\/products\/9783319713328","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}