Results 1 to 10 of about 3,235,619 (333)
On C-Compact Orthogonally Additive Operators
Journal of Mathematical Analysis and Applications, 2021 We consider C-compact orthogonally additive operators in vector lattices. After providing some examples of C-compact orthogonally additive operators on a vector lattice with values in a Banach space we show that the set of those operators is a projection
Marat Pliev
exaly +2 more sources
On best approximations to compact operators [PDF]
Proceedings of the American Mathematical Society, 2021 We study best approximations to compact operators between Banach spaces and Hilbert spaces, from the point of view of Birkhoff-James orthogonality and semi-inner-products.
D. Sain
semanticscholar +1 more source
Extrapolation for multilinear compact operators and applications [PDF]
, 2020 This paper is devoted to studying the Rubio de Francia extrapolation for multilinear compact operators. It allows one to extrapolate the compactness of $T$ from just one space to the full range of weighted spaces, whenever an $m$-linear operator $T$ is ...
Mingming Cao, Andrea Olivo, K. Yabuta
semanticscholar +1 more source
Interpolation of compact bilinear operators [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces.
Mieczysław Mastyło, Eduardo B. Silva
doaj +1 more source
Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators
Journal of Mathematics, 2023 We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and
Zahra Niktab +3 more
doaj +1 more source
Matrix transformations and compact operators on Catalan sequence spaces
, 2021 This paper is devoted to the study of domain of a recently defined conservative matrix in the spaces of p-absolutely summable sequences and bounded sequences. The aforementioned matrix is obtained by using the fascinating Catalan numbers.
Merve İlkhan Kara, E. Kara
semanticscholar +1 more source
Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
doaj +1 more source
Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Let V ;Wâ and W be the operator ideals of completely continuous, weakly â-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = Wâ â¦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
doaj +1 more source
Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
doaj +1 more source
Compact operators on the Jordan totient sequence spaces
Mathematical methods in the applied sciences, 2020 The necessary and sufficient conditions for compactness of a matrix operator between Banach spaces is obtained by utilizing the concept of the Hausdorff measure of noncompactness.
M. İlkhan, Evren Emrah Kara, F. Usta
semanticscholar +1 more source