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Multi-valued weighted composition operators on Fock space

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Abstract

Multivalued linear operators, also known as linear relations, are studied on a specific class of weighted, composition transforms on Fock space. Basic properties of this class of linear relations, such as closed graph, boundedness, complex symmetry, real symmetry, or isometry are characterized in simple algebraic terms, involving their symbols.

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Acknowledgements

The authors are indebted to the referee for insightful comments and criticism, which considerably improved a first version of this work.

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Authors and Affiliations

  1. Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi, Vietnam

    Pham Viet Hai

  2. University of California, Santa Barbara, USA

    Mihai Putinar

  3. Newcastle University, Newcastle upon Tyne, UK

    Mihai Putinar

Authors
  1. Pham Viet Hai
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  2. Mihai Putinar
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Correspondence to Mihai Putinar.

Additional information

Communicated by Eva A. Gallardo-Gutierrez.

To Franciszek Hugon Szafraniec at eighty, with best wishes.

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Hai, P.V., Putinar, M. Multi-valued weighted composition operators on Fock space. Adv. Oper. Theory 5, 1261–1296 (2020). https://doi.org/10.1007/s43036-020-00087-1

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