Symmetric polynomials on ℓ1 and the symmetric Fock space

Symmetric polynomials on ℓ1 and the symmetric Fock space

We consider the Hilbert space generated symmetric polynomials on the space of absolutely summing sequences. We construct an isomorphism of this space to the symmetric Fock space. This isomorphism allows us to extend combinatorial methods for investigations of tensor polynomials in the symmetric Fock...

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Veröffentlicht in:AIP conference proceedings 2022-11, Vol.2483 (1)
Hauptverfasser: Zagorodnyuk, Andriy, Novosad, Zoriana, Holubchak, Oleh
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Combinatorial analysis
Hilbert space
Isomorphism
Mathematical analysis
Operators (mathematics)
Polynomials
Tensors
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Zusammenfassung:We consider the Hilbert space generated symmetric polynomials on the space of absolutely summing sequences. We construct an isomorphism of this space to the symmetric Fock space. This isomorphism allows us to extend combinatorial methods for investigations of tensor polynomials in the symmetric Fock space. The intertwining operator on the Hilbert space of symmetric analytic functions is investigated.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0114863