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Matrices of Operators on Some Function Spaces

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

Some matrix representations for Hilbert space operators are considered. The corresponding matrices are related to frames and appear in a quite natural way especially in the case of reproducing kernel spaces. The membership in Schatten classes is discussed in terms of a discrete set of points, where the corresponding symbols are evaluated.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Sciences, Jagiellonian University, ul. prof. St. Łojasiewicza 6, 30-348, Kraków, Poland

    Wojciech Mikołajczyk

  2. Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Kraków, Poland

    Krzysztof Rudol

Authors
  1. Wojciech Mikołajczyk
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  2. Krzysztof Rudol
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Corresponding author

Correspondence to Wojciech Mikołajczyk .

Editor information

Editors and Affiliations

  1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

    Vladimir V. Mityushev

  2. Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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Mikołajczyk, W., Rudol, K. (2015). Matrices of Operators on Some Function Spaces. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_75

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