Li–Yorke chaos of backward shift operators on Köthe sequence spaces

On Köthe Sequence Spaces and Linear Logic

We present a category of locally convex topological vector spaces which is a model of propositional classical linear logic, based on the standard concept of Köthe sequence spaces. In this setting, the “of course” connective of linear logic has a quite simple structure of commutative Hopf algebra. The co-Kleisli category of this linear category is a cartesian closed category of entire mappings. ...

Chaos for Power Series of Backward Shift Operators

We study when the operator f(Bw) is chaotic in the sense of Devaney on a Köthe echelon sequence space, where Bw is a weighted backward shift and f(z) = ∑∞ j=0 fjz j is a formal power series.

Operators commuting with the shift on sequence spaces

The Backward Shift on Dirichlet-type Spaces

We study the backward shift operator on Hilbert spaces Hα (for α ≥ 0) which are norm equivalent to the Dirichlet-type spaces Dα. Although these operators are unitarily equivalent to the adjoints of the forward shift operator on certain weighted Bergman spaces, our approach is direct and completely independent of the standard Cauchy duality. We employ only the classical Hardy space theory and an...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...