{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T23:29:42Z","timestamp":1747783782586,"version":"3.37.3"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T00:00:00Z","timestamp":1669680000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T00:00:00Z","timestamp":1669680000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/04459\/2020"],"award-info":[{"award-number":["UIDB\/04459\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura Cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["20-17749X"],"award-info":[{"award-number":["20-17749X"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Anal.Math.Phys."],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s13324-022-00740-3","type":"journal-article","created":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T07:30:29Z","timestamp":1669707029000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Complex-self-adjointness"],"prefix":"10.1007","volume":"13","author":[{"given":"M. Cristina","family":"C\u00e2mara","sequence":"first","affiliation":[]},{"given":"David","family":"Krej\u010di\u0159\u00edk","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,11,29]]},"reference":[{"key":"740_CR1","volume-title":"Linear operators in spaces with an indefinite metric","author":"TY Azizov","year":"1989","unstructured":"Azizov, T.Y., Iokhvidov, I.S.: Linear operators in spaces with an indefinite metric. John Wiley & Sons, UK (1989)"},{"key":"740_CR2","doi-asserted-by":"crossref","unstructured":"Bagarello, F., Gazeau, J.-P., Szafraniec, F.\u00a0H., Znojil, M.: (Eds.), Non-selfadjoint operators in quantum physics: mathematical aspects, Wiley-Interscience, 432 pages (2015)","DOI":"10.1002\/9781118855300"},{"key":"740_CR3","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1007\/s00020-008-1634-1","volume":"62","author":"D Borisov","year":"2008","unstructured":"Borisov, D., Krej\u010di\u0159\u00edk, D.: $$\\cal{PT} $$-symmetric waveguides. Integ. Equ. Oper. Theory 62, 489\u2013515 (2008)","journal-title":"Integ. Equ. Oper. Theory"},{"key":"740_CR4","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1007\/s13324-020-00364-5","volume":"10","author":"MC C\u00e2mara","year":"2020","unstructured":"C\u00e2mara, M.C., Kli\u015b-Garlicka, K., Lanucha, B., Ptak, M.: Conjugations in $$l^2$$ and their invariants. Anal. Math. Phys. 10, 22 (2020)","journal-title":"Anal. Math. Phys."},{"key":"740_CR5","doi-asserted-by":"publisher","first-page":"1446","DOI":"10.1080\/03081087.2019.1631246","volume":"69","author":"MC C\u00e2mara","year":"2021","unstructured":"C\u00e2mara, M.C., Kli\u015b-Garlicka, K., Ptak, M.: Complex symmetric completions of partial operator matrices. Linear Multilinear Algebra 69, 1446\u20131467 (2021)","journal-title":"Linear Multilinear Algebra"},{"key":"740_CR6","volume-title":"Spectral theory and differential operators","author":"DE Edmunds","year":"1987","unstructured":"Edmunds, D.E., Evans, W.D.: Spectral theory and differential operators. Oxford University Press, Oxford (1987)"},{"key":"740_CR7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781316258231","volume-title":"Introduction to model spaces and their operators","author":"SR Garcia","year":"2016","unstructured":"Garcia, S.R., Mashreghi, J., Ross, W.T.: Introduction to model spaces and their operators. Cambridge University Press, Cambridge (2016)"},{"key":"740_CR8","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/35\/353001","volume":"47","author":"SR Garcia","year":"2014","unstructured":"Garcia, S.R., Prodan, E., Putinar, M.: Mathematical and physical aspects of complex symmetric operators. J. Phys. A: Math. Theor. 47, 353001 (2014)","journal-title":"J. Phys. A: Math. Theor."},{"key":"740_CR9","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1090\/S0002-9947-05-03742-6","volume":"358","author":"SR Garcia","year":"2006","unstructured":"Garcia, S.R., Putinar, M.: Complex symmetric operators and applications. Trans. Amer. Math. Soc. 358, 1285\u20131315 (2006)","journal-title":"Trans. Amer. Math. Soc."},{"key":"740_CR10","doi-asserted-by":"publisher","first-page":"3913","DOI":"10.1090\/S0002-9947-07-04213-4","volume":"359","author":"SR Garcia","year":"2007","unstructured":"Garcia, S.R., Putinar, M.: Complex symmetric operators and applications II. Trans. Amer. Math. Soc. 359, 3913\u20133931 (2007)","journal-title":"Trans. Amer. Math. Soc."},{"key":"740_CR11","unstructured":"Glazman, I.\u00a0M.: Direct methods of qualitative spectral analysis of singular differential operators, Israel Program for Scientific Translations, (1965)"},{"key":"740_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-53393-8","volume-title":"Perturbation theory for linear operators","author":"T Kato","year":"1966","unstructured":"Kato, T.: Perturbation theory for linear operators. Springer-Verlag, Berlin (1966)"},{"key":"740_CR13","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1016\/j.jmaa.2015.09.004","volume":"434","author":"E Ko","year":"2016","unstructured":"Ko, E., Lee, J.E.: On complex symmetric Toeplitz operators. J. Math. Anal. Appl. 434, 20\u201334 (2016)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"740_CR14","first-page":"1","volume":"116","author":"E Ko","year":"2022","unstructured":"Ko, E., Lee, J.E., Lee, J.: Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space. Rev. Real Acad. Cienc. Exactas Fis. Nat. A: Mat. 116(1), 1\u20135 (2022)","journal-title":"Rev. Real Acad. Cienc. Exactas Fis. Nat. A: Mat."},{"key":"740_CR15","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/44\/444019","volume":"45","author":"D Kochan","year":"2012","unstructured":"Kochan, D., Krej\u010di\u0159\u00edk, D., Nov\u00e1k, R., Siegl, P.: The Pauli equation with complex boundary conditions. J. Phys. A: Math. Theor. 45, 444019 (2012)","journal-title":"J. Phys. A: Math. Theor."},{"key":"740_CR16","doi-asserted-by":"crossref","unstructured":"Krej\u010di\u0159\u00edk, D., Siegl, P.: Elements of spectral theory without the spectral theorem, In Non-selfadjoint operators in quantum physics: Mathematical aspects (432 pages), F. Bagarello, J.-P. Gazeau, F. H. Szafraniec, and M. Znojil, (Eds.), Wiley-Interscience, (2015)","DOI":"10.1002\/9781118855300.ch5"},{"key":"740_CR17","doi-asserted-by":"publisher","DOI":"10.1063\/1.4934378","volume":"56","author":"D Krej\u010di\u0159\u00edk","year":"2015","unstructured":"Krej\u010di\u0159\u00edk, D., Siegl, P., Tater, M., Viola, J.: Pseudospectra in non-Hermitian quantum mechanics. J. Math. Phys. 56, 103513 (2015)","journal-title":"J. Math. Phys."},{"key":"740_CR18","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1088\/0305-4470\/39\/2\/009","volume":"39","author":"E Prodan","year":"2006","unstructured":"Prodan, E., Garcia, S.R., Putinar, M.: Norm estimates of complex symmetric operators applied to quantum systems. J. Phys. A: Math. Gen. 39, 389\u2013400 (2006)","journal-title":"J. Phys. A: Math. Gen."},{"key":"740_CR19","volume-title":"The physics of time reversal","author":"RG Sachs","year":"1987","unstructured":"Sachs, R.G.: The physics of time reversal. University of Chicago Press, Chicago (1987)"}],"container-title":["Analysis and Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13324-022-00740-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13324-022-00740-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13324-022-00740-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,17]],"date-time":"2023-02-17T08:33:29Z","timestamp":1676622809000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13324-022-00740-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,29]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["740"],"URL":"https:\/\/doi.org\/10.1007\/s13324-022-00740-3","relation":{},"ISSN":["1664-2368","1664-235X"],"issn-type":[{"type":"print","value":"1664-2368"},{"type":"electronic","value":"1664-235X"}],"subject":[],"published":{"date-parts":[[2022,11,29]]},"assertion":[{"value":"6 August 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 September 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 November 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"There are no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interests"}},{"value":"Not applicable.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical Approval"}}],"article-number":"6"}}