Academic literature on the topic 'Duality spaces'

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Journal articles on the topic "Duality spaces"

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Aksnes, Edvard. "Tropical Poincaré duality spaces." Advances in Geometry 23, no. 3 (2023): 345–70. http://dx.doi.org/10.1515/advgeom-2023-0017.

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Abstract The tropical fundamental class of a rational balanced polyhedral fan induces cap products between tropical cohomology and tropical Borel–Moore homology. When all these cap products are isomorphisms, the fan is said to be a tropical Poincaré duality space. If all the stars of faces also are such spaces, such as for fans of matroids, the fan is called a local tropical Poincaré duality space. In this article, we first give some necessary conditions for fans to be tropical Poincaré duality spaces and a classification in dimension one. Next, we prove that tropical Poincaré duality for the
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Leśnik, Karol, and Lech Maligranda. "Abstract Cesàro spaces. Duality." Journal of Mathematical Analysis and Applications 424, no. 2 (2015): 932–51. http://dx.doi.org/10.1016/j.jmaa.2014.11.023.

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Gonz�lez, Juan Antonio Navarro. "Duality and finite spaces." Order 6, no. 4 (1990): 401–8. http://dx.doi.org/10.1007/bf00346134.

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Maio, Giuseppe Di, Enrico Meccariello, and Somashekhar A. Naimpally. "Duality in Function Spaces." Mediterranean Journal of Mathematics 3, no. 2 (2006): 189–204. http://dx.doi.org/10.1007/s00009-006-0072-z.

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BRUHN, HENNING, and MAYA STEIN. "Duality of Ends." Combinatorics, Probability and Computing 19, no. 1 (2009): 47–60. http://dx.doi.org/10.1017/s0963548309990320.

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We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism * between the end spaces of a graph and its dual, and that * preserves the ‘end degree’. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.
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Dimov, Georgi, and Elza Ivanova-Dimova. "Two extensions of the stone duality to the category of zero-dimensional Hausdorff spaces." Filomat 35, no. 6 (2021): 1851–78. http://dx.doi.org/10.2298/fil2106851d.

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Extending the Stone Duality Theorem, we prove two duality theorems for the category ZHaus of zero-dimensional Hausdorff spaces and continuous maps. They extend also the Tarski Duality Theorem; the latter is even derived from one of them. We prove as well two new duality theorems for the category EDTych of extremally disconnected Tychonoff spaces and continuous maps. Also, we describe two categories which are dually equivalent to the category ZComp of zero-dimensional Hausdorff compactifications of zero-dimensional Hausdorff spaces and obtain as a corollary the Dwinger Theorem about zero-dimens
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Bhatt, Biseswar Prasad. "Maximal Duality Mappings On Banach Spaces." Journal of Development Review 9, no. 1 (2024): 34–41. http://dx.doi.org/10.3126/jdr.v9i1.69039.

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The analytical features of a Banach space K are characterized by the duality mappings on a Banach space K. One example of a monotone duality mapping on K is the subdifferential of proper convex functions on K. In this case, we look at various instances of normalized duality mappings as well as the idea of monotone operators on K. The surjectivity of the duality mappings and the notions of hemicontinuity and demicontinuity are crucial. If A and B are two monotone mappings then their sum is always monotone mapping but the sum of maximal monotone mapping may not be maximal in general. Ultimately,
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Väisälä, Jussi. "Metric duality in Euclidean spaces." MATHEMATICA SCANDINAVICA 80 (December 1, 1997): 249. http://dx.doi.org/10.7146/math.scand.a-12620.

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Zhan, Mujun, and Guangfu Cao. "DUALITY OF QK-TYPE SPACES." Bulletin of the Korean Mathematical Society 51, no. 5 (2014): 1411–23. http://dx.doi.org/10.4134/bkms.2014.51.5.1411.

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MALAFOSSE, Bruno de. "Duality of new sequence spaces." Hokkaido Mathematical Journal 32, no. 3 (2003): 643–60. http://dx.doi.org/10.14492/hokmj/1350659160.

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Dissertations / Theses on the topic "Duality spaces"

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Palmberg, Niklas. "Analytic function spaces : properties of operators and duality /." Åbo : Åbo akademis tryckeri, 2006. http://catalogue.bnf.fr/ark:/12148/cb41037087t.

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Crowther, Charlotte Louise. "Aspects of duality theory for spaces of measurable operators." Doctoral thesis, University of Cape Town, 1997. http://hdl.handle.net/11427/16107.

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Bibliography: pages 98-101.<br>It is well known that a commutative von Neumann algebra can be represented as a space of essentially bounded functions over a localizable measure space. In non-commutative integration theory, a von Neumann algebra takes over the role of the space of essentially bounded measurable functions. If the von Neumann algebra is semifinite, then there exists a faithful semifinite normal trace on it. Equipped with such a trace, a topology can be defined on the algebra, which in the commutative case is the familiar topology of convergence in measure. The completion of the a
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Börjeson, Kaj. "Free loop spaces, Koszul duality and A-infinity algebras." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-145403.

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This thesis consists of four papers on the topics of free loop spaces, Koszul duality and A∞-algebras.  In Paper I we consider a definition of differential operators for noncommutative algebras. This definition is inspired by the connections between differential operators of commutative algebras, L∞-algebras and BV-algebras. We show that the definition is reasonable by establishing results that are analoguous to results in the commutative case. As a by-product of this definition we also obtain definitions for noncommutative versions of Gerstenhaber and BV-algebras.  In Paper II we calculate th
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Cavaniglia, Consuelo. "Open cuts: spaces, surfaces, shadows." Thesis, The University of Sydney, 2016. http://hdl.handle.net/2123/16317.

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The project evolves out of an interest in understanding how we can relate to space – personal, psychological, architectural, environmental. And how this relationship might be based on definition and delineation of these spaces. If space were somehow destabilised then it would follow that we would have to alter our understanding of it and thus our relationship to it would also change. The works produced for this project aimed at creating a disruption in space through the use of mild visual illusions. This paper traces the journey of the research project, focusing on a series of key works execut
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Hare, David Edwin George. "A duality theory for Banach spaces with the Convex Point-of-Continuity Property." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/27313.

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A norm ||⋅|| on a Banach space X is Fréchet differentiable at x ∈ X if there is a functional ∫∈ X* such that [Formula Omitted] This concept reflects the smoothness characteristics of X. A dual Banach space X* has the Radon-Nikodym Property (RNP) if whenever C ⊂ X* is weak*-compact and convex, and ∈ > 0, there is an x ∈ X and an ⍺ > 0 such that diameter [Formula Omitted] this property reflects the convexity characteristics of X*. Culminating several years of work by many researchers, the following theorem established a strong connection between the smoothness of X and the convexity of X*: Eve
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Adams, Daniel Meade. "Spaces of Weakly Holomorphic Modular Forms in Level 52." BYU ScholarsArchive, 2017. https://scholarsarchive.byu.edu/etd/6482.

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Let M#k(52) be the space of weight k level 52 weakly holomorphic modular forms with poles only at infinity, and S#k(52) the subspace of forms which vanish at all cusps other than infinity. For these spaces we construct canonical bases, indexed by the order of vanishing at infinity. We prove that the coefficients of the canonical basis elements satisfy a duality property. Further, we give closed forms for the generating functions of these basis elements.
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Reggio, Luca. "Quantifiers and duality." Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCC210/document.

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Le thème central de la présente thèse est le contenu sémantique des quantificateurs logiques. Dans leur forme la plus simple, les quantificateurs permettent d’établir l’existence, ou la non-existence, d’individus répondant à une propriété. En tant que tels, ils incarnent la richesse et la complexité de la logique du premier ordre, par delà la logique propositionnelle. Nous contribuons à l’analyse sémantique des quantificateurs, du point de vue de la théorie de la dualité, dans trois domaines différents des mathématiques et de l’informatique théorique. D’une part, dans la théorie des langages f
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Ferrando, Palomares Irene. "Duality in spaces of p-integrable functions with respect to a vector measure." Doctoral thesis, Universitat Politècnica de València, 2009. http://hdl.handle.net/10251/6242.

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La tesis tiene como objetivo principal el estudio de la dualidad vectorial entre los espacios L^{p}(m) y L^{q}(m) de funciones integrables con respecto a una medida vectorial con valores en un espacio de Banach X, con p,q >1 exponentes reales conjugados. La clave de la dualidad es la definición de una forma bilineal Phi:L^{p}(m) x L^{q}(m)' X dada por el operador integración, que a cada par (f, g) en L^{p}(m)\times L^{q}(m) le asocia int_{\Omega}fg dm. Mediante esta forma bilineal se definen dos topologías intermedias para el espacio L^{p}(m). La más débil es la topología m-débil, que correspo
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Sundin, Per. "Perturbative quantization of superstring theory in Anti de-Sitter spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2011. http://dx.doi.org/10.18452/16320.

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Um das mikroskopische Verhalten der Gravitation zu beschreiben, ist es nötig, Quantenfeldtheorie und allgemeine Relativitätstheorie in einer vereinheitlichten Sprache zu formulieren. Eine Möglichkeit dieses Problem anzugehen ist es, die Punktteilchen der Quantenfeldtheorie durch fadenförmige Strings zu ersetzen. Allerdings erfordert die mathematische Konsistenz, dass sich die String in höherdimensionalen Raum-Zeiten bewegen; dies macht es jedoch sehr schwer, physikalische Konsequenzen zu extrahieren. Eine mögliche Lösung dieses Problems ist die Verwendung von String-Dualitäten, welche die Stri
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Marcoci, Liviu-Gabriel. "Some new results concerning Schur multipliers and duality results between Bergman-Schatten and little Bloch spaces /." Luleå : Luleå University of Technology, 2009. http://pure.ltu.se/ws/fbspretrieve/2732750.

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Books on the topic "Duality spaces"

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Boţ, Radu Ioan. Duality in vector optimization. Springer, 2009.

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Cioranescu, Ioana. Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2121-4.

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Ciorănescu, Ioana. Geometry of banach spaces, duality mappings, and nonlinear problems. Kluwer Academic Publishers, 1990.

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Castillo, Jesús M. F. Three-space problems in Banach space theory. Springer, 1997.

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Anderson, E. J. Linear programming in infinite-dimensional spaces: Theory and applications. Wiley, 1987.

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Samuel, Kaplan. The bidual of C(X) I. North-Holland, 1985.

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Taubes, Clifford. Metrics, connections and gluing theorems. American Mathematical Society, 1996.

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Taubes, Clifford. Metrics, connections, and gluing theorems. Published for the Conference Board of Mathematical Sciences by the American Mathematical Society, 1996.

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Drigojias, Ioannis. Approximationseigenschaft und Dualität von gewichteten H⁽p̳⁾- Räumen. Drucktechnische Zentralstelle der Universität Münster, 1993.

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Beyer, Peter. Zur Serre-Dualität für kohärente Garben auf rigid-analytischen Räumen. Mathematisches Institut der Universität Münster, 1997.

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Book chapters on the topic "Duality spaces"

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Schaefer, H. H., and M. P. Wolff. "Duality." In Topological Vector Spaces. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1468-7_5.

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Noll, Walter. "Duality, Bilinearity." In Finite-Dimensional Spaces. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-010-9335-4_3.

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Klein, John R. "Poincaré duality spaces." In Princeton University Press eBook Package 2014. Princeton University Press, 2000. http://dx.doi.org/10.1515/9781400865192-010.

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Aliprantis, Charalambos, and Rabee Tourky. "Cones in topological vector spaces." In Cones and Duality. American Mathematical Society, 2007. http://dx.doi.org/10.1090/gsm/084/02.

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Rutter, John W. "L-R duality." In Spaces of Homotopy Self-Equivalences. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093746.

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Adams, David R. "Duality for Morrey Spaces." In Applied and Numerical Harmonic Analysis. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26681-7_5.

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Ikegami, Teruo. "Duality on Balayage Spaces." In ICPT ’91. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1118-8_18.

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Lomonosov, Victor. "Duality in Operator Spaces." In Functional Analysis and Economic Theory. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-72222-6_8.

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Katznelson, Yitzhak, and Yonatan Katznelson. "Duality of vector spaces." In The Student Mathematical Library. American Mathematical Society, 2007. http://dx.doi.org/10.1090/stml/044/03.

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Liulevicius, Arunas, and Murad Özaydın. "Duality in orbit spaces." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0072826.

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Conference papers on the topic "Duality spaces"

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Zhao, Jiaqi, Fei Wang, Kun Li, et al. "Temporal-Frequency State Space Duality: An Efficient Paradigm for Speech Emotion Recognition." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10890265.

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Chen, Binghong, Zhengqian Zhang, Haiyu Wang, et al. "SSD-MIR: Towards Medical Image Restoration With Structured Visual State Space Duality." In 2024 IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE, 2024. https://doi.org/10.1109/bibm62325.2024.10822037.

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Yang, Liu, and Xiaofang Wu. "Specific Emitter Identification of ADS-B Signal Based on Visual State Space Duality." In 2025 5th International Conference on Sensors and Information Technology (ICSI). IEEE, 2025. https://doi.org/10.1109/icsi64877.2025.11009602.

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Waligórski, Jan. "The Problem of Digital Dualism in Social Virtual Reality Research: Toward a Hybrid Culture, Space, and Body." In 2025 IEEE Conference on Virtual Reality and 3D User Interfaces Abstracts and Workshops (VRW). IEEE, 2025. https://doi.org/10.1109/vrw66409.2025.00111.

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Xiao, Xuemei, Xincun Wang, and Yucan Zhu. "Duality principles in Banach spaces." In 2010 3rd International Congress on Image and Signal Processing (CISP). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5648102.

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BARHOUMI, ABDESSATAR, and HABIB OUERDIANE. "GENERALIZED q-FOCK SPACES AND DUALITY THEOREMS." In Proceedings of the 26th Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770271_0009.

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GONZÁLEZ, MANUEL. "AN INTRODUCTION TO LOCAL DUALITY FOR BANACH SPACES." In Proceedings of the First International School. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702371_0002.

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Abbaspour, Hossein, Ralph Cohen, and Kate Gruher. "String topology of Poincaré duality groups." In Groups, homotopy and configuration spaces, in honour of Fred Cohen's 60th birthday. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.13.1.

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Kallel, Sadok. "Symmetric products, duality and homological dimension of configuration spaces." In Groups, homotopy and configuration spaces, in honour of Fred Cohen's 60th birthday. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.13.499.

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Jiang, Jun, and Shuli Xu. "Duality for Nonsmooth Vector Optimization Using Mordukhovich's Subdifferential in Asplund Spaces." In 2010 International Conference on Artificial Intelligence and Computational Intelligence (AICI). IEEE, 2010. http://dx.doi.org/10.1109/aici.2010.343.

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