Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds

Svatopluk Krysl

Address. Charles University of Prague
Sokolovsk\'a 83, Praha, Czech Republic

Humboldt-Universitaet zu Berlin
Unter den Linden 6, Berlin, Germany


Abstract. In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index $p>0$ of $r$-th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.

AMSclassification. 58J05, 58J50, 35N10, 53D05.

Keywords. Symplectic Dirac operator, symplectic Rarita-Schwinger operator, Kostant symplectic spinors.