Results 41 to 50 of about 884 (163)

Perturbed Operators on Banach Spaces

, 2020
Comment: 15 ...
Arbizu, José María Soriano, Cabrera, Manuel Odóñez   +1 more
openaire   +3 more sources

$k$-bitransitive and compound operators on Banach spaces

Karpatsʹkì Matematičnì Publìkacìï, 2016
In this this paper, we introduce new classes of operators in complex Banach spaces, which we call $k$-bitransitive operators and compound operators to study the direct sum of diskcyclic operators.
N. Bamerni, A. Kilicman
doaj   +1 more source

Shift operators on Banach spaces

Journal of Functional Analysis, 1991
The authors discuss the question as to which Banach spaces admit a shift operator. They show that if a compact Hausdorff space \(X\) is not separable and has no isolated points then the Banach space \(C(x)\) does not admit an isometric shift. They also discuss shift operators on Dedekind complete Banach lattices, and establish that these spaces do not ...
Gutek, A, Hart, D, Jamison, J, Rajagopalan, M   +3 more
openaire   +1 more source

L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices

International Journal of Analysis and Applications, 2018
Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach ...
Halimeh Ardakani, Manijeh Salimi
doaj   +2 more sources

Operator Matrices on Banach Spaces

OALib, 2020
Since nonlinear schur theorem was proposed, it broke the limitation of linear operator matrices. And in this paper we study the summability theory for a class of matrices of nonlinear mapping, and the characterizations of a class of infinite matrix transformations are obtained.
Nan Hua, Ning Kang, Huan Liao
openaire   +1 more source

S-Mixing Tuple of Operators on Banach Spaces

Journal of Function Spaces, 2016
We consider the question: what is the appropriate formulation of Godefroy-Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S-mixing, which lies between mixing and weakly mixing.
Wei Wang, Yonglu Shu, Xingzhong Wang
doaj   +1 more source

Adjoint Operators on Banach Spaces

, 2010
In this paper, we report on new results related to the existence of an adjoint for operators on separable Banach spaces and discuss a few interesting applications. (Some results are new even for Hilbert spaces.) Our first two applications provide an extension of the Poincar inequality and the Stone-von Neumann version of the spectral theorem for a ...
Gill, Tepper L, Mensah, Francis, Zachary, Woodford W.   +2 more
openaire   +2 more sources

Projective tensor products of approximation spaces associated with positive operators

Researches in Mathematics
In this paper the projective tensor products of approximation spaces associated with positive operators in Banach spaces are characterized. We show that the tensor products of approximation spaces can be considered as the interpolation spaces generated ...
M.I. Dmytryshyn, L.I. Dmytryshyn
doaj   +1 more source

Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces

International Journal of Differential Equations, 2015
The present paper treats three concepts of nonuniform polynomial trichotomies for noninvertible evolution operators acting on Banach spaces. The connections between these concepts are established through numerous examples and counterexamples for systems ...
Mihai-Gabriel Babuţia, Nicolae Marian Seimeanu   +1 more
doaj   +1 more source

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Journal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
doaj   +1 more source