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Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>. 2022;11(5). doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>","ieee":"H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” <i>Axioms</i>, vol. 11, no. 5, 2022, doi: <a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","apa":"Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>, <i>11</i>(5). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>","chicago":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i> 11, no. 5 (2022). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>.","short":"H. Glöckner, Axioms 11 (2022)."},"quality_controlled":"1","language":[{"iso":"eng"}],"doi":"10.3390/axioms11050221","publication_identifier":{"issn":["2075-1680"]},"author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"}],"year":"2022","title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces","intvolume":"        11","article_type":"original","date_updated":"2022-12-22T07:31:55Z","date_created":"2022-12-21T20:02:29Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"journal_article","issue":"5","publication":"Axioms","abstract":[{"lang":"eng","text":"We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E&times;E is a kR-space."}]},{"language":[{"iso":"eng"}],"_id":"34804","user_id":"178","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"title":"Birkhoff decompositions for loop groups with coefficient algebras","year":"2022","status":"public","date_updated":"2022-12-22T07:44:08Z","date_created":"2022-12-22T07:42:07Z","external_id":{"arxiv":["2206.11711"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","citation":{"chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","short":"H. Glöckner, ArXiv:2206.11711 (2022).","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>.","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022.","mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022."},"publication":"arXiv:2206.11711","abstract":[{"text":"Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. 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Risk allocation through securitization – Evidence from non-performing loans. <i>The Quarterly Review of Economics and Finance</i>, <i>Vol. 86 (11)</i>, 48–64. <a href=\"https://doi.org/10.1016/j.qref.2022.06.005\">https://doi.org/10.1016/j.qref.2022.06.005</a>","ieee":"S. T. Wengerek, B. Hippert, and A. Uhde, “Risk allocation through securitization – Evidence from non-performing loans,” <i>The Quarterly Review of Economics and Finance</i>, vol. Vol. 86 (11), pp. 48–64, 2022, doi: <a href=\"https://doi.org/10.1016/j.qref.2022.06.005\">https://doi.org/10.1016/j.qref.2022.06.005</a>.","ama":"Wengerek ST, Hippert B, Uhde A. Risk allocation through securitization – Evidence from non-performing loans. <i>The Quarterly Review of Economics and Finance</i>. 2022;Vol. 86 (11):48-64. doi:<a href=\"https://doi.org/10.1016/j.qref.2022.06.005\">https://doi.org/10.1016/j.qref.2022.06.005</a>","bibtex":"@article{Wengerek_Hippert_Uhde_2022, title={Risk allocation through securitization – Evidence from non-performing loans}, volume={Vol. 86 (11)}, DOI={<a href=\"https://doi.org/10.1016/j.qref.2022.06.005\">https://doi.org/10.1016/j.qref.2022.06.005</a>}, journal={The Quarterly Review of Economics and Finance}, publisher={Elsevier}, author={Wengerek, Sascha Tobias and Hippert, Benjamin and Uhde, André}, year={2022}, pages={48–64} }","mla":"Wengerek, Sascha Tobias, et al. “Risk Allocation through Securitization – Evidence from Non-Performing Loans.” <i>The Quarterly Review of Economics and Finance</i>, vol. Vol. 86 (11), Elsevier, 2022, pp. 48–64, doi:<a href=\"https://doi.org/10.1016/j.qref.2022.06.005\">https://doi.org/10.1016/j.qref.2022.06.005</a>."},"page":"48-64","_id":"13147","publisher":"Elsevier","user_id":"36049","volume":"Vol. 86 (11)","status":"public","jel":["G21","G28","G32"],"date_created":"2019-09-06T08:59:28Z","type":"journal_article","keyword":["European Banking","Non-performing Loans","Securitization"],"department":[{"_id":"186"},{"_id":"188"}],"publication":"The Quarterly Review of Economics and Finance","abstract":[{"text":"Employing a unique and hand-collected sample of 648 true sale loan securitization transactions issued by 57 stock-listed banks across the EU-12 plus Switzerland over the period from 1997 to 2010, this paper empirically analyzes the relationship between true sale loan securitization and the issuing banks’ non-performing loans to total assets ratios. Overall, we provide evidence for a negative impact of securitization on NPL exposures suggesting that banks predominantly used securitization as an instrument of credit risk transfer and diversification. In addition, the analysis at hand reveals a time-sensitive relationship between securitization and NPL exposures. While we observe an even stronger NPL-reducing effect through securitization during the non-crisis periods, the effect reverses during and after the global financial crisis suggesting that banks were forced to provide credit enhancement and employ securitization as a funding management tool. Along with the results from a variety of sensitivity analyses our study provides important implications for the recent debate on reducing NPL exposures of European banks by revitalizing the European securitization market.","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"https://doi.org/10.1016/j.qref.2022.06.005","title":"Risk allocation through securitization – Evidence from non-performing loans","year":"2022","author":[{"full_name":"Wengerek, Sascha Tobias","orcid":"0000-0002-7820-3903","last_name":"Wengerek","first_name":"Sascha Tobias","id":"48837"},{"id":"48476","first_name":"Benjamin","last_name":"Hippert","full_name":"Hippert, Benjamin"},{"first_name":"André","orcid":"https://orcid.org/0000-0002-8058-8857","last_name":"Uhde","full_name":"Uhde, André","id":"36049"}],"publication_status":"published","date_updated":"2022-12-23T11:27:53Z","article_type":"original"}]