Results 1 to 10 of about 46 (46)

Fractional Cesàro Matrix and its Associated Sequence Space

open access: yesConcrete Operators, 2021
In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
doaj   +1 more source

On linear chaos in function spaces

open access: yesDemonstratio Mathematica, 2022
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
doaj   +1 more source

Normality and Quasinormality of Specific Bounded Product of Densely Defined Composition Operators in L2 Spaces

open access: yesConcrete Operators, 2022
Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
doaj   +1 more source

The invariant subspaces of S ⊕ S*

open access: yesConcrete Operators, 2020
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspaces of the operator S ⊕ S*, where S is the unilateral shift on a Hilbert space. This answers a question of Câmara and Ross.
Timotin Dan
doaj   +1 more source

Bounds of operators on the Hilbert sequence space

open access: yesConcrete Operators, 2020
The author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous ...
Roopaei Hadi
doaj   +1 more source

Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov

open access: yesConcrete Operators, 2020
We present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks.
Müller V., Tomilov Yu.
doaj   +1 more source

Characterizations of compact operators on ℓp−type fractional sets of sequences

open access: yesDemonstratio Mathematica, 2019
Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
doaj   +1 more source

Bounded holomorphic projections for exponentially decreasing weights

open access: yesJournal of Function Spaces, Volume 6, Issue 1, Page 59-70, 2008., 2008
We construct generalized Bergman projections on a large class of weighted L∞–spaces. The examples include exponentially decreasing weights on the unit disc and complex plane.
Wolfgang Lusky   +2 more
wiley   +1 more source

Operators commuting with the shift on sequence spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2273-2278, 2004., 2004
A complete characterization of shift‐invariant operators that are isomorphisms is given in certain sequence spaces. Also given is a sufficient condition for an operator commuting with a shift‐invariant operator to be shift invariant.
J. Prada
wiley   +1 more source

On cyclicity in weighted Dirichlet spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 739-744, 1999., 1999
We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0 < α < 1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.
F. Jafari, R. Raposa
wiley   +1 more source

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