Zobrazeno 1 - 10
of 301
pro vyhledávání: '"Ross William T."'
For a given unitary operator $U$ on a separable complex Hilbert space $\h$, we describe the set $\mathscr{C}_{c}(U)$ of all conjugations $C$ (antilinear, isometric, and involutive maps) on $\h$ for which $C U C = U$. As this set might be empty, we al
Externí odkaz:
http://arxiv.org/abs/2402.14997
Publikováno v:
Concrete Operators, Vol 4, Iss 1, Pp 76-108 (2017)
This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality
Externí odkaz:
https://doaj.org/article/264b62ade67a4a79a4599542078b4680
This paper contains sharp bounds on the coefficients of the polynomials $R$ and $S$ which solve the classical one variable B\'{e}zout identity $A R + B S = 1$, where $A$ and $B$ are polynomials with no common zeros. The bounds are expressed in terms
Externí odkaz:
http://arxiv.org/abs/2310.12734
This paper explores various classes of invariant subspaces of the classical Ces\`{a}ro operator $C$ on the Hardy space $H^2$. We provide a new characterization of the finite co-dimensional $C$-invariant subspaces, based on earlier work of the first t
Externí odkaz:
http://arxiv.org/abs/2307.06923
Autor:
Ross, William T.
This survey paper explores various aspects of the Cesaro operator and how it relates to various areas of functional analysis and linear algebra.
Externí odkaz:
http://arxiv.org/abs/2210.08091
In this paper we give complete descriptions of the set of square roots of certain classical operators, often providing specific formulas. The classical operators included in this discussion are the square of the unilateral shift, the Volterra operato
Externí odkaz:
http://arxiv.org/abs/2109.13688
The study of inner and cyclic functions in $\ell^p_A$ spaces requires a better understanding of the zeros of the so-called optimal polynomial approximants. We determine that a point of the complex plane is the zero of an optimal polynomial approximan
Externí odkaz:
http://arxiv.org/abs/2104.08014