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006 m |o d |
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008 180904s2018 gw |||| o |||| 0|eng
010 _a 2019743083
020 _a9783319920603 (Pbk)
024 7 _a10.1007/978-3-319-92061-0
_2doi
035 _a(DE-He213)978-3-319-92061-0
040 _aDLC
_beng
_epn
_erda
_cIISERB
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2bicssc
072 7 _aPBKF
_2thema
082 0 4 _a515.733 So48P
_223
100 1 _aSołtan, Piotr.
_928893
245 1 2 _aPrimer on Hilbert Space Operators
_cby Piotr Sołtan.
250 _a1st ed. 2018.
260 _aSwitzarland:
_bSpringer-Nature,
_c2018.
300 _aXII, 200 pages 1 illustrations in color.
490 1 _aCompact Textbooks in Mathematics,
_x2296-4568
505 0 _aSpectrum of an operator -- Continuous functional calculus -- Positive operators -- Spectral theorems and functional calculus -- Compact operators -- The trace -- Functional calculus for families of operators -- Operators and their graphs -- z-transform -- Spectral theorems -- Self-adjoint extensions of symmetric operators -- One-parameter groups of unitary operators -- Appendices -- Index of notation -- References - Index.
520 _aThe book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators. The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.
650 0 _aOperator theory.
_928894
650 1 4 _aHilbert space.
_928895
776 0 8 _iPrint version:
_tA primer on Hilbert space operators
_z9783319920603
_w(DLC) 2018944130
776 0 8 _iPrinted edition:
_z9783319920603
776 0 8 _iPrinted edition:
_z9783319920627
830 0 _aCompact Textbooks in Mathematics,
_928896
906 _a0
_bibc
_corigres
_du
_encip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c9946
_d9946