Gallone, Matteo; Michelangeli, Alessandro [Albeverio, Sergio] Self-adjoint extension schemes and modern applications to quantum Hamiltonians. Foreword by Sergio Albeverio. (English) Zbl 07566620 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-031-10884-6/hbk; 978-3-031-10887-7/pbk; 978-3-031-10885-3/ebook). xxv, 538 p. (2023). Reviewer: Markus Holzmann (Graz) MSC: 47-01 81-01 47B25 47B93 81Q10 PDFBibTeX XMLCite \textit{M. Gallone} and \textit{A. Michelangeli}, Self-adjoint extension schemes and modern applications to quantum Hamiltonians. Foreword by Sergio Albeverio. Cham: Springer (2023; Zbl 07566620) Full Text: DOI
Sauvigny, Friedrich Spectral theory of self-adjoint operators in Hilbert space and elliptic differential operators. (Spektraltheorie selbstadjungierter Operatoren im Hilbertraum und elliptischer Differentialoperatoren.) (German) Zbl 1447.47003 Heidelberg: Springer Spektrum (ISBN 978-3-662-58068-4/pbk; 978-3-662-58069-1/ebook). xii, 259 p. (2019). Reviewer: Patrick Winkert (Berlin) MSC: 47-01 47B25 47F05 47F10 47A10 PDFBibTeX XMLCite \textit{F. Sauvigny}, Spektraltheorie selbstadjungierter Operatoren im Hilbertraum und elliptischer Differentialoperatoren. Heidelberg: Springer Spektrum (2019; Zbl 1447.47003) Full Text: DOI
Koshmanenko, Volodymyr; Dudkin, Mykola The method of rigged spaces in singular perturbation theory of self-adjoint operators. (English) Zbl 1447.47010 Operator Theory: Advances and Applications 253. Basel: Birkhäuser/Springer (ISBN 978-3-319-29533-6/hbk; 978-3-319-29535-0/ebook). xx, 237 p. (2016). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 47-02 47A55 47B25 PDFBibTeX XMLCite \textit{V. Koshmanenko} and \textit{M. Dudkin}, The method of rigged spaces in singular perturbation theory of self-adjoint operators. Basel: Birkhäuser/Springer (2016; Zbl 1447.47010) Full Text: DOI
Koshmanenko, V. D.; Dudkin, M. E. Method of equipped spaces in the theory of singular perturbations of self-adjoint operators. (Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів.) (Ukrainian) Zbl 1324.47001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 96. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-6847-0). 320 p. (2013). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 47-02 47A55 47A70 47B25 46C05 81Q10 34L40 PDFBibTeX XMLCite \textit{V. D. Koshmanenko} and \textit{M. E. Dudkin}, Метод оснащених просторів у теорії сингулярних збурень самоспряжених операторів (Ukrainian). Kyïv: Instytut Matematyky NAN Ukraïny (2013; Zbl 1324.47001)
Schmüdgen, Konrad Unbounded self-adjoint operators on Hilbert space. (English) Zbl 1257.47001 Graduate Texts in Mathematics 265. Dordrecht: Springer (ISBN 978-94-007-4752-4/hbk; 978-94-007-4753-1/ebook). xx, 432 p. (2012). Reviewer: Michael Perelmuter (Kyïv) MSC: 47-01 47B25 81Q10 47Axx 47E05 47F05 35Pxx PDFBibTeX XMLCite \textit{K. Schmüdgen}, Unbounded self-adjoint operators on Hilbert space. Dordrecht: Springer (2012; Zbl 1257.47001)
Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. Iterated function systems, moments, and transformations of infinite matrices. (English) Zbl 1243.47033 Mem. Am. Math. Soc. 1003, ix, 105 p. (2011). Reviewer: Marisela Domínguez (Caracas) MSC: 47A57 46F12 47B25 47-02 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Iterated function systems, moments, and transformations of infinite matrices. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1243.47033) Full Text: DOI arXiv
Weidmann, Joachim Linear operators in Hilbert spaces. Part II: Applications. (Lineare Operatoren in Hilberträumen. Teil II: Anwendungen.) (German) Zbl 1025.47001 Mathematische Leitfäden. Stuttgart: Teubner. 404 S. (2003). Reviewer: André Noll (Darmstadt) MSC: 47-01 47N20 47A10 47B25 PDFBibTeX XMLCite \textit{J. Weidmann}, Lineare Operatoren in Hilberträumen. Teil II: Anwendungen. Stuttgart: Teubner (2003; Zbl 1025.47001)
Everitt, W. N.; Markus, L. Multi-interval linear ordinary boundary value problems and complex symplectic algebra. (English) Zbl 0982.47032 Mem. Am. Math. Soc. 715, 64 p. (2001). Reviewer: J.Schmeelk (Richmond) MSC: 47E05 47B25 34B10 51A50 34L05 47-02 34-02 PDFBibTeX XMLCite \textit{W. N. Everitt} and \textit{L. Markus}, Multi-interval linear ordinary boundary value problems and complex symplectic algebra. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0982.47032) Full Text: DOI
Bachman, George; Narici, Lawrence Functional analysis. Reprint of the 1966 original. (English) Zbl 0983.46001 Mineola, NY: Dover Publications. xii, 532 p. (2000). Reviewer: L.Janos (Kent/Ohio) MSC: 46-01 47-01 47B15 46B10 46C05 46A30 46B03 47A05 47B25 PDFBibTeX XMLCite \textit{G. Bachman} and \textit{L. Narici}, Functional analysis. Reprint of the 1966 original. Mineola, NY: Dover Publications (2000; Zbl 0983.46001)
Naylor, Arch W.; Sell, George R. Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart & Winston, Inc. Paperback edition. (English) Zbl 0945.47001 Applied Mathematical Sciences. 40. New York, NY: Springer. xv, 624 p. (2000). Reviewer: P.Zabreiko (Minsk) MSC: 47-01 46-01 46B10 47A60 47B15 46C05 47A10 47B25 47H10 PDFBibTeX XMLCite \textit{A. W. Naylor} and \textit{G. R. Sell}, Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc. Paperback edition. New York, NY: Springer (2000; Zbl 0945.47001)
Dautray, Robert; Lions, Jacques-Louis [Artola, Michel; Cessenat, Michel] Mathematical analysis and numerical methods for science and technology. Volume 3: Spectral theory and applications. With the collaboration of Michel Artola and Michel Cessenat. Transl. from the French by John C. Amson. 2nd printing. (English) Zbl 0944.47002 Berlin: Springer. x, 542 p. (2000). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 47-02 47A60 47A70 47B25 47A10 47B40 78A30 46L05 81Q10 46L10 PDFBibTeX XMLCite \textit{R. Dautray} and \textit{J.-L. Lions}, Mathematical analysis and numerical methods for science and technology. Volume 3: Spectral theory and applications. With the collaboration of Michel Artola and Michel Cessenat. Transl. from the French by John C. Amson. 2nd printing. Berlin: Springer (2000; Zbl 0944.47002)
Samojlenko, Yu. S. Spectral theory of families of self-adjoint operators. Transl. from the Russian by E. V. Tisjachnij. (English) Zbl 0729.47020 Mathematics and Its Applications, (Soviet Series), 57. Dordrecht etc.: Kluwer Academic Publishers. xvi, 293 p. Dfl. 220.00; £81.00; $ 129.00 (1991). Reviewer: M.Perelmuter (Kiev) MSC: 47B25 47-02 PDFBibTeX XMLCite \textit{Yu. S. Samojlenko}, Spectral theory of families of self-adjoint operators. Transl. from the Russian by E. V. Tisjachnij. Dordrecht etc.: Kluwer Academic Publishers (1991; Zbl 0729.47020)
Otelbaev, M. O. Estimates of the spectrum of the Sturm-Liouville operator. (Otsenki spektra operatora Shturma-Liuvillya.) (Russian) Zbl 0747.47029 Alma-Ata: Gylym. 192 p. (1990). Reviewer: H.O.Fattorini (Los Angeles) MSC: 47E05 34B24 47B25 47A10 47F05 PDFBibTeX XMLCite \textit{M. O. Otelbaev}, Otsenki spektra operatora Shturma-Liuvillya (Russian). Alma-Ata: Gylym (1990; Zbl 0747.47029)
Dautray, Robert; Lions, Jacques-Louis Mathematical analysis and numerical methods for sciences and technology. (In six volumes). Volume 3: Spectral theory and applications. With the collaboration of Michel Artola and Michel Cessenat. Transl. from the French by John C. Amson. (English) Zbl 0766.47001 Berlin etc.: Springer-Verlag. x, 515 p. (1990). Reviewer: J.J.Telega (Warszawa) MSC: 47-02 47A70 47B25 47A10 47B40 78A30 46L05 81Q10 46L10 PDFBibTeX XMLCite \textit{R. Dautray} and \textit{J.-L. Lions}, Mathematical analysis and numerical methods for sciences and technology. (In six volumes). Volume 3: Spectral theory and applications. With the collaboration of Michel Artola and Michel Cessenat. Transl. from the French by John C. Amson. Berlin etc.: Springer-Verlag (1990; Zbl 0766.47001)
Berezanskij, Yu. M.; Us, G. F.; Sheftel’, Z. G. Functional analysis. A course of lectures. Textbook. (Funktsional’nyj analiz. Kurs lektsij. Uchebnoe posobie.) (Russian) Zbl 0704.46001 Kiev: Vyshcha Shkola. 600 p. R. 1.90 (1990). Reviewer: J.Appell MSC: 46-01 47-01 35-01 46F12 47A70 47B25 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} et al., Funktsional'nyj analiz. Kurs lektsij. Uchebnoe posobie (Russian). Kiev: Vyshcha Shkola (1990; Zbl 0704.46001)
Dunford, Nelson; Schwartz, Jacob T. [Bade, William G.; Bartle, Robert G.] Linear operators. Part II: Spectral theory, self adjoint operators in Hilbert space. With the assistance of William G. Bade and Robert G. Bartle. Repr. of the orig., publ. 1963 by John Wiley & Sons Ltd., Paperback ed. (English) Zbl 0635.47002 Wiley Classics Library. New York etc.: John Wiley & Sons Ltd./Interscience Publishers, Inc. ix, 859-1923 $25.95 (1988). MSC: 47-02 47B15 47F05 47B25 46J05 22B05 47D03 47E05 47A10 43A45 47B10 47B38 47A20 PDFBibTeX XMLCite \textit{N. Dunford} and \textit{J. T. Schwartz}, Linear operators. Part II: Spectral theory, self adjoint operators in Hilbert space. With the assistance of William G. Bade and Robert G. Bartle. Repr. of the orig., publ. 1963 by John Wiley \& Sons Ltd., Paperback ed. New York etc: John Wiley \&| Sons Ltd./Interscience Publishers, Inc. (1988; Zbl 0635.47002)
Cooper, J. B. Saks spaces and applications to functional analysis. 2nd rev. ed. (English) Zbl 0618.46003 North-Holland Mathematics Studies, 139. Notas de Matemática, 116. Amsterdam etc.: North-Holland. IX, 372 p.; $ 75.50; Dfl. 170.00 (1987). Reviewer: J.B.Prolla MSC: 46A19 46-02 46E10 46E30 46L10 47B25 PDFBibTeX XML
Mukherjea, A.; Pothoven, K. Real and functional analysis. 2nd ed. Part B: Functional analysis. (English) Zbl 0641.46002 Mathematical Concepts and Methods in Science and Engineering, 28. New York-London: Plenum Press. VIII, 277 p. (1986). MSC: 46-01 47B25 46C05 47-01 47B15 46A03 46B03 46B10 46B15 47A10 47A15 46A30 PDFBibTeX XML
Abramov, Yu. Sh. Variational methods in the theory of operator pencils. Spectral optimization. (Variatsionnye metody v teorii operatornykh puchkov. Spektral’naya optimizatsiya). (Russian) Zbl 0607.49028 Leningrad: Izdatel’stvo Leningradskogo Universiteta. 180 p. R. 1.60 (1983). Reviewer: S.M.Zverev MSC: 49R50 49-02 49N15 47A70 47A10 47B25 PDFBibTeX XML
Baumgärtel, Hellmut; Wollenberg, Manfred Mathematical scattering theory. Licensed ed. (English) Zbl 0536.47008 Operator Theory: Advances and Applications, Vol. 9. Basel - Boston - Stuttgart: Birkhäuser Verlag. 449 p. DM 98.00 (1983). MSC: 47A40 47-02 47A55 47B25 81U10 81U05 PDFBibTeX XML
Baumgärtel, Hellmut; Wollenberg, Manfred Mathematical scattering theory. (English) Zbl 0536.47007 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien, Bd. 59. Berlin: Akademie-Verlag. 449 S. M 98.00 (1983). Reviewer: V.Georgescu MSC: 47A40 47-02 47A55 47B25 81U10 81U05 PDFBibTeX XML
Neidhardt, Hagen Symmetric extensions preserving additional conditions. (English) Zbl 0514.47017 Prepr., Akad. Wiss. DDR, Inst. Math. P-MATH-16/82, 31 p. (1982). MSC: 47B25 47B50 47A20 PDFBibTeX XML
van Eijndhoven, S. J. L. Analyticity spaces and trajectory spaces based on a pair of commuting holomorphic semigroups with applications to continuous linear mappings. (English) Zbl 0506.46028 EUR-Rep., Eindhoven 82-WSK-06, 120 p. (1982). MSC: 46F99 47D03 46M05 46F05 82B10 PDFBibTeX XML
Thayer, F. Javier Théorie spectrale. (French) Zbl 0503.47001 Monografias de Matematica, No. 36. Rio de Janeiro: Instituto de Matematica Pura e Aplicada. IV, 118 p. (1982). MSC: 47-01 46-01 47B25 47A10 46J25 35J10 47F05 46E35 46M35 47A55 47D03 PDFBibTeX XML
Bachman, George; Narici, Lawrence Functional analysis. (Análisis funcional). Transl. from the English by Eva Sánchez Mañes. (Spanish) Zbl 0534.46001 Serie de Matemática. Madrid: Editorial Tecnos. 591 p. (1981). MSC: 46-01 47-01 46C05 47B15 46A30 46B03 46B10 47A05 47B25 PDFBibTeX XML
van Eijndhoven, S. J. L. A theory of generalized functions based on one parameter groups of unbounded self-adjoint operators. (English) Zbl 0472.46026 TH-Rep., Eindhoven 81-WSK-03, 92 p. (1981). MSC: 46F05 46F10 47D03 47B25 PDFBibTeX XML
Limaye, Balmohan Vishnu Functional analysis. (English) Zbl 0459.46007 New Delhi etc.: Wiley Eastern Limited. XII, 376 p. £6.50 (1981). MSC: 46B03 46-01 46B10 46C05 47B25 PDFBibTeX XML
Brehmer, Siegfried Hilbert-Räume und Spektralmaße. (German) Zbl 0399.46014 Wissenschaftliche Taschenbücher - WTB. Mathematik, Physik, Band 207. Berlin: Akademie-Verlag. 224 S., 6 Abb. M 12.50 (1979). MSC: 46Cxx 46-01 47-01 47A10 47B15 47B06 47A70 46G10 46H30 47A60 PDFBibTeX XML
Reed, Michael; Simon, Barry Methods of modern mathematical physics. IV: Analysis of operators. (English) Zbl 0401.47001 New York - San Francisco - London: Academic Press. XV, 396 p. $ 34.00; £22.10 (1978). MSC: 47-02 47A10 47A55 47B60 47B25 35J10 47A70 47B06 81Q15 81Q10 81V70 47B10 35P20 34L99 PDFBibTeX XML
Mukherjea, A.; Pothoven, K. Real and functional analysis. (English) Zbl 0391.46001 Mathematical Concepts and Methods in Science and Engineering. Vol. 6. New York - London: Plenum Press. X, 529 p. $ 25.00 (1978). MSC: 46-02 46B03 46B10 46C05 47H10 46A30 47B06 47B25 47A60 46E30 47A05 28-02 28A05 28A10 28A20 26A42 28A15 28C05 47-02 PDFBibTeX XML