Joint Resolution

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The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform

Sess. - One of the best experts on this subject based on the ideXlab platform.

Th Congress - One of the best experts on this subject based on the ideXlab platform.

Artem D. Pulemyotov - One of the best experts on this subject based on the ideXlab platform.

  • On the Generalized Joint Eigenvector Expansion for Commuting Normal Operators
    Current Trends in Operator Theory and its Applications, 2020
    Co-Authors: Artem D. Pulemyotov
    Abstract:

    Let \({e_\lambda }(x) = {e^{i2\pi \lambda x}},\lambda \in \Lambda , \) be a family of commuting normal operators in a separable Hilbert space Ho. Obtaining the spectral expansion of A involves the construction of the corresponding Joint Resolution of identity E. The support, supp E, is not, generally, a set of full E-measure. This causes numerous difficulties, in particular, when proving the projection spectral theorem, i.e., the main theorem about the expansion in generalized Joint eigenvectors. In this review, we provide an example of a Joint Resolution of identity with an empty support and show supp E has a full outer measure under the conditions of the projection spectral theorem. This result can be used to simplify the proof of the theorem and to refine its assertions.

  • SUPPORT OF A Joint Resolution OF IDENTITY AND THE PROJECTION SPECTRAL THEOREM
    Infinite Dimensional Analysis Quantum Probability and Related Topics, 2020
    Co-Authors: Artem D. Pulemyotov
    Abstract:

    Let A = (Ax)x ∈ Xbe a family of commuting normal operators in a separable Hilbert space H0. Obtaining the spectral expansion of A involves constructing of the corresponding Joint Resolution of identity E. The support supp E is not, in general, a set of full measure. This causes numerous difficulties, in particular, when proving the projection spectral theorem, i.e. the main theorem about the expansion in generalized Joint eigenvectors. In this work, we show that supp E has a full outer measure under the conditions of the projection spectral theorem. Using this result, we simplify the proof of the theorem and refine its assertions.

Majigsuren Enkhsaikhan - One of the best experts on this subject based on the ideXlab platform.

  • CIMCA/IAWTIC - Development of a Multi-Agent System for Travel Industry Support
    2006 International Conference on Computational Inteligence for Modelling Control and Automation and International Conference on Intelligent Agents Web, 2006
    Co-Authors: Bala M. Balachandran, Majigsuren Enkhsaikhan
    Abstract:

    Multi-agent systems (MAS) are collections of autonomous intelligent entities that collaborate in the Joint Resolution of a complex problem. In this paper we argue that MAS are well suited to tackle travel industry problems, and propose a multi-agent architecture for the travel support system. Our paper explores some of the methodologies for multi-agent systems development and examines an open source Java toolkit called, JADE for building a multi-agent system for travel industry support.

  • Development of a Multi-Agent System for Travel Industry Support
    2006 International Conference on Computational Inteligence for Modelling Control and Automation and International Conference on Intelligent Agents Web, 2006
    Co-Authors: Bala M. Balachandran, Majigsuren Enkhsaikhan
    Abstract:

    Multi-agent systems (MAS) are collections of autonomous intelligent entities that collaborate in the Joint Resolution of a complex problem. In this paper we argue that MAS are well suited to tackle travel industry problems, and propose a multi-agent architecture for the travel support system. Our paper explores some of the methodologies for multi-agent systems development and examines an open source Java toolkit called, JADE for building a multi-agent system for travel industry support.

Michael L. Koempel - One of the best experts on this subject based on the ideXlab platform.