Results 11 to 20 of about 172,609 (284)
For functions of a single complex variable, points of multiplicity greater than $k$ are characterized by the vanishing of the first $k$ derivatives. There are various quantitative generalizations of this statement, showing that for functions that are in some sense close to having multiplicity greater than $k$, the first $k$ derivatives must be small ...
Binyamini, Gal, Novikov, Dmitry
openaire +3 more sources
Multiplication from other operations [PDF]
Given the operations of subtraction and reciprocaltaking we show that the operation of multiplication is determined in any field. The amusing difference is that for characteristic 2 it is not given by a formula while for other characteristics, it is. The identity xy = ((x + y 2)-1 (x + y + 2)1)-' ((x-y-2)-1(x-y+ 2)y )' shows how multiplication of real ...
Kohn, S., Newman, D. J.
openaire +1 more source
Multiples of hypercyclic operators [PDF]
We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T on ℓ 2 ( Z ) \ell _2(\mathbb {Z}) such that T T and 3 T 3T are ...
Badea, Catalin +2 more
openaire +4 more sources
Extrapolation of operator-valued multiplication operators [PDF]
We discuss $\mathrm{L}^p$ fiber spaces which appear, e.g., as extrapolation spaces of unbounded multiplication operators which in turn are motivated, for instance, by non-autonomous evolution equations.
Budde, Christian, Heymann, Retha
openaire +2 more sources
Properties of multiplication operators on the space of functions of bounded φ-variation
In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied.
Castillo René E. +2 more
doaj +1 more source
Multiplication Operators on Weighted Nakano (sss)
In this article, we investigate the sufficient conditions on weighted Nakano sequence space to be premodular Banach (sss). We examine some topological and geometrical structures of the multiplication operators defined on weighted Nakano prequasi-normed ...
Awad A. Bakery +2 more
doaj +1 more source
Quasi-optimal multiplication of linear differential operators [PDF]
We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasi-optimal time. This answers an open question raised by van der Hoeven.Comment: To appear in the Proceedings of the 53rd ...
Benoit, Alexandre +2 more
core +6 more sources
On Some Properties of Cowen-Douglas Class of Operators
We will consider multiplication operators on a Hilbert space of analytic functions on a domain Ω⊂C. For a bounded analytic function φ on Ω, we will give necessary and sufficient conditions under which the complement of the essential spectrum of Mφ in φΩ ...
Parastoo Heiatian Naeini +1 more
doaj +1 more source
Extensions of nonclosable operators and multiplication of distributions
In the paper some new constructions of extensions of nonclosable operators is proposed and several examples of applications are given. One of particular cases of the problem under consideration is the question on multiplication of distributions, a ...
Anatolij B. Antonevich +1 more
doaj +1 more source
Multiplication Operators on Cesàro Sequence Spaces
In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces.
Komal B. S., Pandoh Suruchi, Raj Kuldip
doaj +1 more source

