Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (3): 702-706.
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Received:
2024-05-17
Revised:
2025-01-26
Online:
2025-06-26
Published:
2025-06-20
Supported by:
CLC Number:
Jieyi Huang, Na Cheng. Some Properties about Band Operators[J].Acta mathematica scientia,Series A, 2025, 45(3): 702-706.
[1] | Abramovich Y A, Kitover A K. Inverses of disjointness preserving operators. Memoirs of the American Mathematical Society, 2000, 143: No 679 |
[2] | Boulabiar K. Recent trends on order bounded disjointness preserving operators. Irish Mathematical Society Bulletin, 2008, 62: 43-69 |
[3] | Turan B, Özcan K. Two problems in the theory of disjointness preserving operators. Hacettepe Journal of Mathematics and Statistics, 2021, 50(2): 361-364 |
[4] | Kusraeva Z. Sums of disjointness preserving multilinear operators. Positivity, 2021, 25(2): 669-678 |
[5] |
Kalauch A, Lemmens B, van Gaans O. Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces. Quaestiones Mathematicae, 2019, 42(4): 423-430
doi: 10.2989/16073606.2018.1451405 |
[6] | Abramovich Y A, Kitover A K. A solution to a problem on invertible disjointness preserving operators. Proceedings of the American Mathematical Society, 1998, 126( 5): 1501-1505 |
[7] | Turan B. On Ideal Operators. Positivity, 2003, 7( 1/2): 141-148 |
[8] | Özcan K. Turan B. Inverses and order boundedness of invertible ideal operators. Quaestiones Mathematicae, 2023, 46(7): 1423-1434 |
[9] | Uyar A. Solutions of two problems in the theory of disjointness preserving operators. Positivity, 2007, 11: 119-121 |
[10] | Turan B, Özcan K. On band operators. Turkish Journal of Mathematics, 2019, 43(2): 977-984 |
[11] | Zaanen A C. Introduction to Operator Theory in Riesz Spaces. New York: Springer-Verlag, 1997 |
[12] | Aliprantis C D, Burkinshaw O. Positive Operators. Holland: Springer-Dordrecht, 2006 |
[13] | 何桃顺, 陈滋利. Archimedean-Riesz 空间中的带算子 (英文). 四川师范大学学报 (自然科学版), 2012, 35(4): 510-514 |
He T S, Chen Z L. The band operators of Archimedean-Riesz spaces. Journal of Sichuan Normal University (Natural Science), 2012, 35(4): 510-514 | |
[14] | 何桃顺, 陈滋利. 带算子的逆 (英文). 西南民族大学学报 (自然科学版), 2013, 39: 560-563 |
He T S, Chen Z L. Inverse of band operators. Journal of Southwest Minzu University (Natural Science Edition), 2013, 39: 560-563 | |
[15] | Alpay Ş, Turan B. On the commutant of the ideal centre. Note di Matematica, 1998, 18(1): 63-69 |
[16] | Huijsmans C B, De Pagter B. Subalgebras and riesz subspaces of an f-Algebra. Proceedings of The London Mathematical Society, 1984, s3-48(1): 161-174 |
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