Weighted shifts on directed trees are a decade-old generalisation of classical shift operators in the sequence space ℓ2. In this paper we introduce joint backward extension property (JBEP) for classes weighted trees. If class satisfies JBEP, existence common within family rooted does not depend additional structure big tree (of fixed depth). We decide whether several have JBEP. For subnormal or...

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.

In a weighted sequence, for every position of the sequence and every letter of the alphabet a probability of occurrence of this letter at this position is specified. Weighted sequences are commonly used to represent imprecise or uncertain data, for example, in molecular biology where they are known under the name of Position-Weight Matrices. Given a probability threshold 1 z , we say that a str...

For weighted approximation in Lp-norm, we determine strongly asymptotic orders for the average errors of both function approximation and derivative approximation by the Bernstein operators sequence on the r-fold integrated Wiener space. AMS subject classifications: 41A28, 65D05, 41A25

Abstract In this note we continue the study of nonlocal interaction dynamics on a sequence infinite graphs, extending results Esposito, Heinze and Schlichting to an arbitrary number species. Our analysis relies observation that graph form gradient flow with respect non‐symmetric Finslerian structure. Keeping energy fixed, while localizing structure, are able prove evolutionary Γ‐convergence Ott...

This paper presents a new mixed-integer goal programming (MIGP) model for a parallel machine scheduling problem with sequence-dependent setup times and release dates. Two objectives are considered in the model to minimize the total weighted flow time and the total weighted tardiness simultaneously. Due to the com-plexity of the above model and uncertainty involved in real-world scheduling probl...

In 1948 H. Wold introduced an isometric isomorphism between a Hilbert (linear) space formed from the weighted shifts of a numerical sequence and a suitable Hilbert space of values of a second order stochastic sequence. Motivated by a recent resurrection of the idea in the context of cyclostationary sequences and processes, we present the details of the Wold isomorphism between cyclostationary s...