A Local Spectral Theory for Closed Operators / Ivan N. Erdelyi, Wang Shengwang.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 105Publisher: Cambridge : Cambridge University Press, 1985Description: 1 online resource (192 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662249 (ebook)Subject(s): Closed operators | Banach spaces | Spectral theory (Mathematics)Additional physical formats: Print version: : No titleDDC classification: 515.7/24 LOC classification: QA329.2 | .E73 1985Online resources: Click here to access online Summary: This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK11947 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.
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