000			01796nam a2200205 4500
001			14345747
010			_a 2006046276
020			_a0486453316 (pbk.)
020			_a9780486453316 (pbk.)
082	0	0	_a515.7246 _bGOL/U
100	1		_aGoldberg, Seymour
245	1	0	_aUnbounded linear operators : theory and application
250			_aDover ed.
260			_aMineola, N.Y. _bDover Publications _c2006
300			_aviii, 199 p. _bill. ;
500			_aOriginally published: New York : McGraw-Hill, [c1966]
520			_aThis volume presents a systematic treatment of the theory of unbounded linear operators in normed linear spaces with applications to differential equations. Largely self-contained, it is suitable for advanced undergraduates and graduate students, and it only requires a familiarity with metric spaces and real variable theory. After introducing the elementary theory of normed linear spaces—particularly Hilbert space, which is used throughout the book—the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed. Other topics include strictly singular operators; operators with closed range; perturbation theory, including some of the main theorems that are later applied to ordinary differential operators; and the Dirichlet operator, in which the author outlines the interplay between functional analysis and "hard" classical analysis in the study of elliptic partial differential equations. In addition to its readable style, this book's appeal includes numerous examples and motivations for certain definitions and proofs. Moreover, it employs simple notation, eliminating the need to refer to a list of symbols.
650		0	_aLinear operators.
942			_cBK
999			_c64478 _d64478