000			02746nam 2200301| 4500
001			85203
005			20211210144743.0
010			_a978-981-10-3020-8 _dcompra
090			_a85203
100			_a20190128d2017 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aElements of hilbert spaces and operator theory _bDocumento electrónico _fHarkrishan Lal Vasudeva
210			_aSingapore _cSpringer Singapore _d2017
215			_aXIII, 522 p. 5 il.
300			_aColocação: Online
303			_aThe book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compression spectrum, have been worked out. Spectral theorems for self-adjoint operators, and normal operators, follow the spectral theorem for compact normal operators. The book also discusses invariant subspaces with special attention to the Volterra operator and unbounded operators. In order to make the text as accessible as possible, motivation for the topics is introduced and a greater amount of explanation than is usually found in standard texts on the subject is provided. The abstract theory in the book is supplemented with concrete examples. It is expected that these features will help the reader get a good grasp of the topics discussed. Hints and solutions to all the problems are collected at the end of the book. Additional features are introduced in the book when it becomes imperative. This spirit is kept alive throughout the book.
606			_aTeoria dos operadores
606			_aAnálise funcional
606			_aFunções de várias variáveis complexas
680			_aQA329
700			_aVasudeva _bHarkrishan Lal
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-981-10-3020-8
942			_2lcc _cF _n0