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Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space
Piotr Bartłomiejczyk, Bartosz Kamedulski, Piotr Nowak-Przygodzki
We present a version of the equivariant gradient degree defined for equivariant gradient perturbations of an equivariant unbounded self-adjoint operator with purely discrete spectr…
Degree product formula in the case of a finite group action
Piotr Bartłomiejczyk, Bartosz Kamedulski, Piotr Nowak-Przygodzki
Let be finite-dimensional orthogonal representations of a finite group . The equivariant degree with values in the Burnside ring of has been studied extensively by ma…
Otopy classification of gradient compact perturbations of identity in Hilbert space
Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki
We prove that the inclusion of the space of gradient local maps into the space of all local maps from Hilbert space to itself induces a bijection between the sets of the respective…