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A New Construction of Continuous Endomorphisms of the Operator Field

In: Generalized Functions, Convergence Structures, and Their Applications

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  • A. Bleyer

    (Technical University of Budapest Electrical Engineering Faculty, Department of Mathematics)

Abstract

In this note we shall give a method to construct continuous endomorphisms of the operator field endowed with convergence structure of type I. The problem is to find, to construct different types of endomorphisms or the linear mapping of the operator field M. In 1967 Gesztelyi published some representation theorems on linear operator transformations, nevertheless there were known only a few types of different transformations. In 1971, in Dubrovnik, R. A. Struble proposed to investigate this problem in view of finding new types of transformations.

Suggested Citation

  • A. Bleyer, 1988. "A New Construction of Continuous Endomorphisms of the Operator Field," Springer Books, in: Bogoljub Stanković & Endre Pap & Stevan Pilipović & Vasilij S. Vladimirov (ed.), Generalized Functions, Convergence Structures, and Their Applications, pages 113-119, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1055-6_9
    DOI: 10.1007/978-1-4613-1055-6_9
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