A Primer on Hilbert Space Operators

The 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 grou...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Sołtan, Piotr (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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003 DE-He213
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040 |d GrThAP 
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100 1 |a Sołtan, Piotr.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 2 |a A Primer on Hilbert Space Operators  |h [electronic resource] /  |c by Piotr Sołtan. 
250 |a 1st ed. 2018. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2018. 
300 |a XII, 200 p. 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Compact Textbooks in Mathematics,  |x 2296-4568 
505 0 |a Spectrum 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 |a The 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 |a Operator theory. 
650 1 4 |a Operator Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M12139 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319920603 
776 0 8 |i Printed edition:  |z 9783319920627 
830 0 |a Compact Textbooks in Mathematics,  |x 2296-4568 
856 4 0 |u https://doi.org/10.1007/978-3-319-92061-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)