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Relevant bibliographies by topics / Tuples of Operators

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Academic literature on the topic 'Tuples of Operators'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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Journal articles on the topic "Tuples of Operators"

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Wang, Wei, Yonglu Shu, and Xingzhong Wang. "S-Mixing Tuple of Operators on Banach Spaces." Journal of Function Spaces 2016 (2016): 1–7. http://dx.doi.org/10.1155/2016/9251672.

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We consider the question: what is the appropriate formulation of Godefroy-Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators,S-mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to beS-mixing. Moreover, we study some new properties ofS-mixing operators on several concrete Banach spaces.

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Hoffmann, Philipp H. W., and Michael Mackey. "(m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces." Asian-European Journal of Mathematics 08, no. 02 (2015): 1550022. http://dx.doi.org/10.1142/s1793557115500229.

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We generalize the notion of m-isometric operator tuples on Hilbert spaces in a natural way to operator tuples on normed spaces. This is done by defining a tuple analogue of (m, p)-isometric operators, so-called (m, p)-isometric operator tuples. We then extend this definition further by introducing (m, ∞)-isometric operator tuples and study properties of and relations between these objects.

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Ahmed, Ahmed. "Higher dimensional [m,C]-isometric commuting d-tuple of operators." Filomat 36, no. 12 (2022): 4173–84. http://dx.doi.org/10.2298/fil2212173a.

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In this paper we recover an [m,C]-isometric operators and (m,C)-isometric commuting tuples of operators on a Hilbert space studied respectively in [11] and [16], we introduce the class of [m,C]-isometries for tuple of commuting operators. This is a generalization of the class of [m,C]-isometric commuting operators on a Hilbert spaces. A commuting tuples of operators S = (S1,..., Sp) ? B(H)p is said to be [m,C]-isometric p-tuple of commuting operators if ?m (S,C):= ?m j=0 (?1)m?j (m j) (? |?|=j j!/?! CS?CS?)=0 for some positive integer m and some conjugation C. We consider a multi-variable gene

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Mićić, Jadranka, Zlatko Pavić, and Josip Pečarić. "Extension of Jensen's Inequality for Operators without Operator Convexity." Abstract and Applied Analysis 2011 (2011): 1–14. http://dx.doi.org/10.1155/2011/358981.

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We give an extension of Jensen's inequality for -tuples of self-adjoint operators, unital -tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions.

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Duggal, B. P. "Subspace gaps and Weyl's theorem for an elementary operator." International Journal of Mathematics and Mathematical Sciences 2005, no. 3 (2005): 465–74. http://dx.doi.org/10.1155/ijmms.2005.465.

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A range-kernal orthogonality property is established for the elementary operatorsℰ(X)=∑i=1nAiXBiandℰ*(X)=∑i=1nAi*XBi*, whereA=(A1,A2,…,An)andB=(B1,B2,…,Bn)aren-tuples of mutually commuting scalar operators (in the sense of Dunford) in the algebraB(H)of operators on a Hilbert spaceH. It is proved that the operatorℰsatisfies Weyl's theorem in the case in whichAandBaren-tuples of mutually commuting generalized scalar operators.

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Charlesworth, Ian, Ken Dykema, Fedor Sukochev, and Dmitriy Zanin. "Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra." Canadian Journal of Mathematics 72, no. 5 (2019): 1188–245. http://dx.doi.org/10.4153/s0008414x19000282.

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AbstractThe joint Brown measure and joint Haagerup–Schultz projections for tuples of commuting operators in a von Neumann algebra equipped with a faithful tracial state are investigated, and several natural properties are proved for these. It is shown that the support of the joint Brown measure is contained in the Taylor joint spectrum of the tuple, and also in the ostensibly smaller left Harte spectrum. A simultaneous upper triangularization result for finite commuting tuples is proved, and the joint Brown measure and joint Haagerup–Schultz projections are shown to behave well under the Arens

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Aljawi, Salma, Kais Feki, and Hranislav Stanković. "Jointly $ A $-hyponormal $ m $-tuple of commuting operators and related results." AIMS Mathematics 9, no. 11 (2024): 30348–63. http://dx.doi.org/10.3934/math.20241464.

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<p>In this paper, we aim to investigate the class of jointly hyponormal operators related to a positive operator $ A $ on a complex Hilbert space $ \mathcal{X} $, which is called jointly $ A $-hyponormal. This notion was first introduced by Guesba et al. in [Linear and Multilinear Algebra, 69(15), 2888–2907] for $ m $-tuples of operators that admit adjoint operators with respect to $ A $. Mainly, we prove that if $ \mathbf{B} = (B_1, \cdots, B_m) $ is a jointly $ A $-hyponormal $ m $-tuple of commuting operators, then $ \mathbf{B} $ is jointly $ A $-normaloid. This result allows us to es

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Bhatia, R., and L. Elsner. "On Joint Eigenvalues of Commuting Matrices." Canadian Mathematical Bulletin 39, no. 2 (1996): 164–68. http://dx.doi.org/10.4153/cmb-1996-020-6.

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AbstractA spectral radius formula for commuting tuples of operators has been proved in recent years. We obtain an analog for all the joint eigenvalues of a commuting tuple of matrices. For a single matrix this reduces to an old result of Yamamoto.

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Chō, Muneo. "Joint spectra of commuting normal operators on Banach spaces." Glasgow Mathematical Journal 30, no. 3 (1988): 339–45. http://dx.doi.org/10.1017/s0017089500007436.

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The joint spectrum for a commuting n-tuple in functional analysis has its origin in functional calculus which appeared in J. L. Taylor's epoch-making paper [19] in 1970. Since then, many papers have been published on commuting n-tuples of operators on Hilbert spaces (for example, [3], [4], [5], [8], [9], [10], [21], [22]).

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Works, Karen, and Elke A. Rundensteiner. "Preferential Resource Allocation in Stream Processing Systems." International Journal of Cooperative Information Systems 23, no. 04 (2014): 1450006. http://dx.doi.org/10.1142/s0218843014500063.

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Overloaded data stream management systems (DSMS) cannot process all tuples within their response time. For some DSMS it is crucial to allocate the precious resources to process the most significant tuples. Prior work has applied shedding and spilling to permanently drop or temporarily place to disk insignificant tuples. However neither approach considers that tuple significance can be multi-tiered nor that significance determination can be costly. These approaches consider all tuples not dropped to be equally significant. Unlike these prior works, we take a fresh stance by pulling the most sig

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Dissertations / Theses on the topic "Tuples of Operators"

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Kribs, David Wallace. "Non-commuting n-tuples of operators and dilation theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ51206.pdf.

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Hazra, Somnath. "Homogeneous Operators." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/3694.

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A bounded operator T on a complex separable Hilbert space is said to be homogeneous if '(T ) is unitarily equivalent to T for all ' in M•ob, where M•ob is the M•obius group. A complete description of all homogeneous weighted shifts was obtained by Bagchi and Misra. The first examples of irreducible bi-lateral homogeneous 2-shifts were given by Koranyi. We describe all irreducible homogeneous 2-shifts up to unitary equivalence completing the list of homogeneous 2-shifts of Koranyi. After completing the list of all irreducible homogeneous 2-shifts, we show that every homogeneous operator whose

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Hazra, Somnath. "Homogeneous Operators." Thesis, 2017. http://etd.iisc.ernet.in/2005/3694.

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A bounded operator T on a complex separable Hilbert space is said to be homogeneous if '(T ) is unitarily equivalent to T for all ' in M•ob, where M•ob is the M•obius group. A complete description of all homogeneous weighted shifts was obtained by Bagchi and Misra. The first examples of irreducible bi-lateral homogeneous 2-shifts were given by Koranyi. We describe all irreducible homogeneous 2-shifts up to unitary equivalence completing the list of homogeneous 2-shifts of Koranyi. After completing the list of all irreducible homogeneous 2-shifts, we show that every homogeneous operator whose

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Bhattacharjee, Monojit. "Analytic Models, Dilations, Wandering Subspaces and Inner Functions." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4241.

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This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main contribution of this thesis is twofold: dilation and analytic model theory for n-tuples of (1) commuting contractions (in the setting of the unit polydisc), and (2) commuting row contractions (in the setting of the unit ball). On n-tuples of commuting contractions: We study analytic models of operators with some positivity assumptions and quotient modules of function Hilbert spac

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Sarkar, Santanu. "Some Problems in Multivariable Operator Theory." Thesis, 2014. http://etd.iisc.ac.in/handle/2005/2897.

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In this thesis we have investigated two diﬀerent types of problems in multivariable operator theory. The ﬁrst one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals with the wandering subspaces of the Bergman space and the Dirichlet space over the polydisc. These are described in thefollowing two sections. (I) The Defect Sequence for ContractiveTuples LetT=(T1,...,Td)bead-tuple of bounded linear operators on some Hilbert space H. We say that T is a row contraction, or, acontractive tuplei f the row operator (Pl refer the abstract pdf fil

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Sarkar, Santanu. "Some Problems in Multivariable Operator Theory." Thesis, 2014. http://etd.iisc.ernet.in/handle/2005/2897.

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In this thesis we have investigated two diﬀerent types of problems in multivariable operator theory. The ﬁrst one deals with the defect sequence for contractive tuples and maximal con-tractive tuples. These condone deals with the wandering subspaces of the Bergman space and the Dirichlet space over the polydisc. These are described in thefollowing two sections. (I) The Defect Sequence for ContractiveTuples LetT=(T1,...,Td)bead-tuple of bounded linear operators on some Hilbert space H. We say that T is a row contraction, or, acontractive tuplei f the row operator (Pl refer the abstract pdf fil

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Kennedy, Matthew. "Free semigroup algebras and the structure of an isometric tuple." Thesis, 2011. http://hdl.handle.net/10012/6022.

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An n-tuple of operators V=(V_1,…,V_n) acting on a Hilbert space H is said to be isometric if the corresponding row operator is an isometry. A free semigroup algebra is the weakly closed algebra generated by an isometric n-tuple V. The structure of a free semigroup algebra contains a great deal of information about V. Thus it is natural to study this algebra in order to study V. A free semigroup algebra is said to be analytic if it is isomorphic to the noncommutative analytic Toeplitz algebra, which is a higher-dimensional generalization of the classical algebra of bounded analytic functions o

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Book chapters on the topic "Tuples of Operators"

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Xia, Daoxing. "Operator Identities for Subnormal Tuples of Operators." In A Panorama of Modern Operator Theory and Related Topics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0221-5_27.

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Dragomir, Silvestru Sever. "Inequalities for n-Tuples of Operators." In SpringerBriefs in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17459-0_2.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Functional calculus for n-tuples of operators." In Noncommutative Functional Calculus. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0110-2_3.

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Voiculescu, Dan-Virgil. "Hybrid Normed Ideal Perturbations of n-Tuples of Operators II: Weak Wave Operators." In Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43380-2_24.

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Trent, Tavan T. "On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk." In Fields Institute Communications. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1255-1_11.

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Nickel, Stefan, Claudius Steinhardt, Hans Schlenker, and Wolfgang Burkart. "Modeling with tuples." In Graduate Texts in Operations Research. Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-662-65481-1_6.

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Wei, Cuiping, Xijin Tang, and Xiaojie Wang. "On Prioritized 2-tuple Ordered Weighted Averaging Operators." In Active Media Technology. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-35236-2_51.

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Liu, Hu-Chen, and Xiao-Yue You. "GSES Using Interval 2-Tuple Linguistic Distance Operators." In Green Supplier Evaluation and Selection: Models, Methods and Applications. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0382-2_5.

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Labella, Álvaro, Bapi Dutta, Rosa M. Rodríguez, and Luis Martínez. "A Linguistic 2-tuple Best-Worst Method." In Lecture Notes in Operations Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89795-6_4.

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Akram, Muhammad, and Arooj Adeel. "2-Tuple Linguistic Multi-polar Fuzzy Hamacher Aggregation Operators." In Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-43636-9_9.

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Conference papers on the topic "Tuples of Operators"

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Oliveira, Willian D., Anna J. C. Lauton, Caetano Traina Jr., and Lucio F. D. Santos. "Similarity Grouping by Influence: Exploring Result Diversification in Similarity Group-by Operators." In Simpósio Brasileiro de Banco de Dados. Sociedade Brasileira de Computação - SBC, 2023. http://dx.doi.org/10.5753/sbbd.2023.233430.

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The group-by operator groups the tuples sharing the same values in specified attributes, then extracts summaries from each group. However, several data stored by modern applications are best queried not by equality but by similarity, giving rise to a number of questions, such as: "How to obtain groups, such that each one contains the k tuples most similar?" or "How to include diversity in the results?". In this paper, we present a binary grouping operator focused on diversified similarity comparisons, which is able to answer such questions. We define the operator algebraically and show its app

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PELÁEZ, J. I., J. M. DOÑA, A. M. GIL, and D. L. LA RED. "VALUATION OF COMPANIES USING 2-TUPLES AND MAJORITY OPERATORS." In Proceedings of the 4th International ISKE Conference on Intelligent Systems and Knowledge Engineering. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814295062_0107.

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Chen, Shyi-Ming, Li-Wei Lee, and Victor R. L. Shen. "Similarity measures between intervals of linguistic 2-tuples and the intervals of linguistic 2-tuples weighted average operator." In 2011 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2011. http://dx.doi.org/10.1109/icmlc.2011.6016999.

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Verhaeghe, Hélène, Christophe Lecoutre, and Pierre Schaus. "Compact-MDD: Efficiently Filtering (s)MDD Constraints with Reversible Sparse Bit-sets." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/192.

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Multi-Valued Decision Diagrams (MDDs) are instrumental in modeling combinatorial problems with Constraint Programming.In this paper, we propose a related data structure called sMDD (semi-MDD) where the central layer of the diagrams is non-deterministic.We show that it is easy and efficient to transform any table (set of tuples) into an sMDD.We also introduce a new filtering algorithm, called Compact-MDD, which is based on bitwise operations, and can be applied to both MDDs and sMDDs.Our experimental results show the practical interest of our approach, both in terms of compression and filtering

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Wang, Yanjun, Duzheng Liu, and Lidong Wang. "Discriminative and Generalized Dependent Aggregation Operators for Hesitant 2- Tuple Linguistic Information." In 2018 14th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD). IEEE, 2018. http://dx.doi.org/10.1109/fskd.2018.8687191.

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Xu, Yejun, and Ling Huang. "An Approach to Group Decision Making Problems Based on 2-Tuple Linguistic Aggregation Operators." In 2008 ISECS International Colloquium on Computing, Communication, Control, and Management. IEEE, 2008. http://dx.doi.org/10.1109/cccm.2008.40.

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Zhao, Shaowei, Junmao Li, and Dagang Li. "An efficient tuple pruning scheme for packet classification using on-chip filtering and indexing." In NOMS 2018 - 2018 IEEE/IFIP Network Operations and Management Symposium. IEEE, 2018. http://dx.doi.org/10.1109/noms.2018.8406226.

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Lei, Li, Zheng Lijuan, and Guo Ge. "A method for emergency plan evaluation under group decision makers based on 2-tuple prioritized OWA operator." In 2016 Chinese Control and Decision Conference (CCDC). IEEE, 2016. http://dx.doi.org/10.1109/ccdc.2016.7531335.

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Renu, Rahul Sharan, and Gregory Mocko. "Computationally Assisted Retrieval and Reuse of 3D Solid Models and Assembly Work Instructions." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-70480.

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Abstract Many manufacturing enterprises have large collections of solid models and text-based assembly processes to support assembly operations. These data are often distributed across their extended enterprise. As these enterprises expand globally, there is often an increase in product and process variability which can often lead to challenges with training, quality control, and obstacles with change management to name a few. Thus, there is a desire to increase the consistency of assembly work instructions within and across assembly locations. The objective of this research is to retrieve exi

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Mosobalaje, O. O., and O. D. Orodu. "Introducing Python Coding to Petroleum Engineering Undergraduates: Excerpts from a Teaching Experience." In SPE Nigeria Annual International Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/217148-ms.

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Abstract The post-Covid world is witnessing a rise in automation and remote work models. Oilfield operations are becoming increasingly innovation-driven with advances such as digitalization technologies, smart fields and intelligent wells. Proliferation of data is extending career frontiers in data analytics, machine learning and artificial intelligence. Human competence in computer programming is a key enabler of these trends. As a contribution to the Nigerian oil/gas human resources development, the petroleum engineering program at Covenant University recently developed and is implementing a

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