A Primer on Hilbert Space Operators

• 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: Operator theory.; Operator Theory.
• Φυσική περιγραφή: XII, 200 p. 1 illus. in color. online resource.
• ISBN: 9783319920610
• ISSN: 2296-4568
• DOI: 10.1007/978-3-319-92061-0

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.