000			01990cam a22002774a 4500
001			12539726
005			20250611154139.0
008			010920s2002 enka b 001 0 eng
020			_a9781849968720
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB43N63 P2 NBHM _qCSL
100	1		_aRyan, Raymond A. _eauthor. _9459123
245	1	0	_aIntroduction to tensor products of Banach spaces
260			_aLondon : _bSpringer, _c2002.
300			_axiv, 225 p. : _bill. ; _c24 cm.
440		0	_aSpringer monographs in mathematics _9812645
504			_aIncludes bibliographical references and index.
520			_aThis book is intended as an introduction to the theory of tensor products of Banach spaces. The prerequisites for reading the book are a first course in Functional Analysis and in Measure Theory, as far as the Radon-Nikodym theorem. The book is entirely self-contained and two appendices give addi­ tional material on Banach Spaces and Measure Theory that may be unfamil­ iar to the beginner. No knowledge of tensor products is assumed. Our viewpoint is that tensor products are a natural and productive way to understand many of the themes of modern Banach space theory and that "tensorial thinking" yields insights into many otherwise mysterious phenom­ ena. We hope to convince the reader of the validity of this belief. We begin in Chapter 1 with a treatment of the purely algebraic theory of tensor products of vector spaces. We emphasize the use of the tensor product as a linearizing tool and we explain the use of tensor products in the duality theory of spaces of operators in finite dimensions. The ideas developed here, though simple, are fundamental for the rest of the book.
650		0	_aBanach spaces. _9443843
650		0	_aTensor products. _9812646
650		0	_aapproximation property _9812647
650		0	_afunctional analysis
650		0	_ameasure _9812290
942			_2CC _n0 _cTEXL _hB43N63 P2 NBHM
999			_c1431624 _d1431624