000			03068cam a22003255a 4500
001			11320131
005			20150817151624.0
008			121227t1982 nyu frb 001 0 eng d
020			_a9781461257004
020			_a9781461257028 (print)
040			_dWaSeSS _dEG-ScBUE _beng
082	0	4	_a515.7246 _222 _bKAT
100	1		_aKatō, Tosio, _938362 _d1917-
245	1	2	_aA short introduction to perturbation theory for linear operators / _cTosio Kato.
260			_aNew York : _bSpringer-Verlag, _cc.1982.
300			_axiii, 161 p. ; _c25 cm.
500			_aIncludes indexes.
504			_aBibliography : p. 149-152.
505	0		_aOne Operator theory in finite-dimensional vector spaces -- {sect} 1. Vector spaces and normed vector spaces -- {sect} 2. Linear forms and the adjoint space -- {sect} 3. Linear operators -- {sect} 4. Analysis with operators -- {sect} 5. The eigenvalue problem -- {sect} 6. Operators in unitary spaces -- {sect} 7. Positive matrices -- Two Perturbation theory in a finite-dimensional space -- {sect} 1. Analytic perturbation of eigenvalues -- {sect} 2. Perturbation series -- {sect} 3. Convergence radii and error estimates -- {sect} 4. Similarity transformations of the eigenspaces and eigenvectors -- {sect} 5. Non-analytic perturbations -- {sect} 6. Perturbation of symmetric operators -- {sect} 7. Perturbation of (essentially) nonnegative matrices -- Notation index -- Author index.
506			_aLicense restrictions may limit access.
520			_aThis book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools.
650		7	_aPerturbation (Mathematics) _2BUEsh _936431
650		7	_aLinear operators. _2BUEsh _922996
651			_2BUEsh
653			_bENGGEN _cAugust2015
655			_vreading book _934232
710	2		_aSpringerLink (Online service)
910			_aVendor-generated brief record
942			_2ddc _k515.7246 KAT
999			_c20564 _d20536