000			03187nam a22004215i 4500
001			978-0-387-68915-9
003			DE-He213
005			20250710084008.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387689159 _a99780387689159
024	7		_a10.1007/978-0-387-68915-9 _2doi
082	0	4	_a515.7 _223
100	1		_aHájek, Petr. _eauthor.
245	1	0	_aBiorthogonal Systems in Banach Spaces _h[recurso electrónico] / _cby Petr Hájek, Vicente Montesinos Santalucía, Jon Vanderwerff, Václav Zizler.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXVIII, 342 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aSeparable Banach Spaces -- Universality and the Szlenk Index -- Review of Weak Topology and Renormings -- Biorthogonal Systems in Nonseparable Spaces -- Markushevich Bases -- Weak Compact Generating -- Transfinite Sequence Spaces -- More Applications.
520			_aThe main theme of this book is the relation between the global structure of Banach spaces and the various types of generalized "coordinate systems" - or "bases" - they possess. This subject is not new and has been investigated since the inception of the study of Banach spaces. In this book, the authors systematically investigate the concepts of Markushevich bases, fundamental systems, total systems and their variants. The material naturally splits into the case of separable Banach spaces, as is treated in the first two chapters, and the nonseparable case, which is covered in the remainder of the book. This book contains new results, and a substantial portion of this material has never before appeared in book form. The book will be of interest to both researchers and graduate students. Topics covered in this book include: - Biorthogonal Systems in Separable Banach Spaces - Universality and Szlenk Index - Weak Topologies and Renormings - Biorthogonal Systems in Nonseparable Spaces - Transfinite Sequence Spaces - Applications Petr Hájek is Professor of Mathematics at the Mathematical Institute of the Academy of Sciences of the Czech Republic. Vicente Montesinos is Professor of Mathematics at the Polytechnic University of Valencia, Spain. Jon Vanderwerff is Professor of Mathematics at La Sierra University, in Riverside, California. Václav Zizler is Professor of Mathematics at the Mathematical Institute of the Academy of Sciences of the Czech Republic.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONAL ANALYSIS.
650	1	4	_aMATHEMATICS.
650	2	4	_aFUNCTIONAL ANALYSIS.
700	1		_aSantalucía, Vicente Montesinos. _eauthor.
700	1		_aVanderwerff, Jon. _eauthor.
700	1		_aZizler, Václav. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387689142
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-68915-9 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c58051 _d58051