On regular operators on Banach Lattices
Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
| Published in: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
|---|---|
| Main Author: | Omer Gok |
| Format: | Article |
| Language: | English |
| Published: |
"Ion Creanga" State Pedagogical University
2023-09-01
|
| Subjects: | |
| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/887 |
Similar Items
On the Quotients of Regular Operators
by: Erdal Bayram, et al.
Published: (2019-03-01)
by: Erdal Bayram, et al.
Published: (2019-03-01)
Property (<i>h</i>) of Banach Lattice and Order-to-Norm Continuous Operators
by: Fu Zhang, et al.
Published: (2023-06-01)
by: Fu Zhang, et al.
Published: (2023-06-01)
Continuous Operators for Unbounded Convergence in Banach Lattices
by: Zhangjun Wang, et al.
Published: (2022-03-01)
by: Zhangjun Wang, et al.
Published: (2022-03-01)
Applications for Unbounded Convergences in Banach Lattices
by: Zhangjun Wang, et al.
Published: (2022-04-01)
by: Zhangjun Wang, et al.
Published: (2022-04-01)
Some properties of b-weakly compact operators on Banach lattices
by: Kazem Haghnejad azar, et al.
Published: (2021-05-01)
by: Kazem Haghnejad azar, et al.
Published: (2021-05-01)
Representing the Banach operator ideal of completely continuous operators; pp. 189–193
by: Rauni Lillemets
Published: (2017-05-01)
by: Rauni Lillemets
Published: (2017-05-01)
Some characterizations of surjective operators on banach lattices
by: Akbar Bahramnezhad, et al.
Published: (2018-12-01)
by: Akbar Bahramnezhad, et al.
Published: (2018-12-01)
The second conjugate algebras of Banach algebras
by: Pak-Ken Wong
Published: (1994-01-01)
by: Pak-Ken Wong
Published: (1994-01-01)
On Bilinear Narrow Operators
by: Marat Pliev, et al.
Published: (2021-11-01)
by: Marat Pliev, et al.
Published: (2021-11-01)
On the class of $\text{b}$-L-weakly and order M-weakly compact operators
by: Driss Lhaimer, et al.
Published: (2020-10-01)
by: Driss Lhaimer, et al.
Published: (2020-10-01)
Application of ${\rm (L)$ sets to some classes of operators}
by: Kamal El Fahri, et al.
Published: (2016-10-01)
by: Kamal El Fahri, et al.
Published: (2016-10-01)
Growth Spaces on Circular Domains Taking Values in a Banach Lattice, Embeddings and Composition Operators
by: Nihat Gökhan Göğüş
Published: (2024-08-01)
by: Nihat Gökhan Göğüş
Published: (2024-08-01)
Some special characterisations of Fredholm operators in Banach space
by: Mahendra Shahi
Published: (2014-05-01)
by: Mahendra Shahi
Published: (2014-05-01)
Some special characterisations of Fredholm operators in Banach space
by: Mahendra Shahi
Published: (2014-05-01)
by: Mahendra Shahi
Published: (2014-05-01)
Compact diagonal linear operators on Banach spaces with unconditional bases
by: Yun Sung Choi, et al.
Published: (1993-01-01)
by: Yun Sung Choi, et al.
Published: (1993-01-01)
On the class of positive disjoint weak $p$-convergent operators
by: Abderrahman Retbi
Published: (2024-10-01)
by: Abderrahman Retbi
Published: (2024-10-01)
Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces
by: Tuyen Truong, et al.
Published: (2011-01-01)
by: Tuyen Truong, et al.
Published: (2011-01-01)
An absolute continuity for positive operators on Banach lattices
by: W. Feldman, et al.
Published: (1991-01-01)
by: W. Feldman, et al.
Published: (1991-01-01)
Some results about unbounded convergences in Banach lattices
by: Omid Zabeti
Published: (2022-06-01)
by: Omid Zabeti
Published: (2022-06-01)
Some results on disjointly weakly compact sets
by: Akay Barış, et al.
Published: (2025-09-01)
by: Akay Barış, et al.
Published: (2025-09-01)
Regularized functions on the plane and nemytskii operators
by: Wadie Aziz
Published: (2014-01-01)
by: Wadie Aziz
Published: (2014-01-01)
Compactness of commutators of fractional integral operators on ball Banach function spaces
by: Heng Yang, et al.
Published: (2024-01-01)
by: Heng Yang, et al.
Published: (2024-01-01)
p-representable operators in Banach spaces
by: Roshdi Khalil
Published: (1986-01-01)
by: Roshdi Khalil
Published: (1986-01-01)
<i>φ</i>−Hilfer Fractional Cauchy Problems with Almost Sectorial and Lie Bracket Operators in Banach Algebras
by: Faten H. Damag, et al.
Published: (2024-12-01)
by: Faten H. Damag, et al.
Published: (2024-12-01)
The Ideal of <i>σ</i>-Nuclear Operators and Its Associated Tensor Norm
by: Ju Myung Kim, et al.
Published: (2020-07-01)
by: Ju Myung Kim, et al.
Published: (2020-07-01)
Means with values in a Banach lattice
by: R. Rao Chivukula, et al.
Published: (1987-01-01)
by: R. Rao Chivukula, et al.
Published: (1987-01-01)
Some open problems on Banach spaces
by: A. M. Plichko, et al.
Published: (2012-11-01)
by: A. M. Plichko, et al.
Published: (2012-11-01)
On the Properties of the Arens Regularity of Bounded Bilinear Mappings
by: Abotalb Shikh Ali, et al.
Published: (2020-08-01)
by: Abotalb Shikh Ali, et al.
Published: (2020-08-01)
A New kUKK Operator in Banach Spaces
by: HONG Gang, et al.
Published: (2019-04-01)
by: HONG Gang, et al.
Published: (2019-04-01)
Strong Topological Regularity and Weak Regularity of Banach Algebras
by: G.H. Esslamzadeh
Published: (2011-03-01)
by: G.H. Esslamzadeh
Published: (2011-03-01)
Lattice separation, coseparation and regular measures
by: Maurice C. Figueres
Published: (1996-01-01)
by: Maurice C. Figueres
Published: (1996-01-01)
Regular Partial Residuated Lattices and Their Filters
by: Nan Sheng, et al.
Published: (2022-07-01)
by: Nan Sheng, et al.
Published: (2022-07-01)
Quotient Banach Lattices Under Unbounded Norm Topology
by: Leila Hasanzadeh, et al.
Published: (2024-07-01)
by: Leila Hasanzadeh, et al.
Published: (2024-07-01)
Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
by: Miculescu Radu, et al.
Published: (2018-12-01)
by: Miculescu Radu, et al.
Published: (2018-12-01)
Integral operators in the theory of induced Banach representation II. The bundle approach
by: I. E. Schochetman
Published: (1981-01-01)
by: I. E. Schochetman
Published: (1981-01-01)
Continuous linear operators on Orlicz-Bochner spaces
by: Nowak Marian
Published: (2019-10-01)
by: Nowak Marian
Published: (2019-10-01)
Integral operators on the section space of a Banach bundle
by: J. W. kitchen, et al.
Published: (1993-01-01)
by: J. W. kitchen, et al.
Published: (1993-01-01)
Common new fixed point results on b-cone Banach spaces over Banach algebras
by: Hojjat Afshari, et al.
Published: (2022-04-01)
by: Hojjat Afshari, et al.
Published: (2022-04-01)
β-operator in Banach Spaces
by: FAN Li-ying, et al.
Published: (2018-04-01)
by: FAN Li-ying, et al.
Published: (2018-04-01)
Geometric Characterization of Injective Banach Lattices
by: Anatoly Kusraev, et al.
Published: (2021-01-01)
by: Anatoly Kusraev, et al.
Published: (2021-01-01)
Similar Items
-
On the Quotients of Regular Operators
by: Erdal Bayram, et al.
Published: (2019-03-01) -
Property (<i>h</i>) of Banach Lattice and Order-to-Norm Continuous Operators
by: Fu Zhang, et al.
Published: (2023-06-01) -
Continuous Operators for Unbounded Convergence in Banach Lattices
by: Zhangjun Wang, et al.
Published: (2022-03-01) -
Applications for Unbounded Convergences in Banach Lattices
by: Zhangjun Wang, et al.
Published: (2022-04-01) -
Some properties of b-weakly compact operators on Banach lattices
by: Kazem Haghnejad azar, et al.
Published: (2021-05-01)
