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001			295171
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008			150903s2005 gw | o |||| 0|eng d
020			_a9783540315469 _99783540315469
024	7		_a10.1007/11551621 _2doi
035			_avtls000347769
039		9	_a201509030739 _bVLOAD _c201404121039 _dVLOAD _c201404090816 _dVLOAD _y201402070939 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aGurariy, Vladimir. _eautor _9329381
245	1	0	_aGeometry of Müntz Spaces and Related Questions / _cby Vladimir Gurariy, Wolfgang Lusky.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005.
300			_axiii, 176 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aLecture Notes in Mathematics, _x0075-8434 ; _v1870
500			_aSpringer eBooks
505	0		_aPreface -- Part I Subspaces and Sequences in Banach Spaces: Disposition of Subspaces -- Sequences in Normed Spaces -- Isomorphism, Isometries and Embeddings -- Spaces of Universal Disposition -- Bounded Approximation Properties -- Part II On the Geometry of Müntz Sequences: Coefficient Estimates and the Müntz Theorem -- Classification and Elementary Properties of Müntz Sequences -- More on the Geometry of Müntz Sequences and Müntz Polynomials -- Operators of Finite Rank and Bases in Müntz Spaces -- Projection Types and the Isomorphism Problem for Müntz Spaces -- The Classes [M], A, P, and Pe -- Finite Dimensional Müntz Limiting Spaces in C -- References -- Index.
520			_aStarting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aLusky, Wolfgang. _eautor _9329382
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783540288008
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/11551621 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c295171 _d295171