Chaotic backward shift operator on Chebyshev polynomials
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792518000670
Abstract: We obtain the representation of the backward shift operator on Chebyshev polynomials involving a principal value (PV) integral. Twice the backward shift on the space of square-summable sequences l2 displays chaotic dynamics, thus we provide… read more here.
Keywords: backward shift; shift operator; chebyshev polynomials; operator ... See more keywords
On Invariant Subspaces for the Shift Operator
Sign Up to like & getrecommendations! Published in 2019 at "Symmetry"
DOI: 10.3390/sym11060743
Abstract: In this paper, we improve two known invariant subspace theorems. More specifically, we show that a closed linear subspace M in the Hardy space H p ( D ) ( 1 ≤ p < ∞… read more here.
Keywords: subspaces shift; shift operator; space; invariant subspaces ... See more keywords