Rights statement: This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, 500 (1), 2021 DOI: 10.1016/j.jmaa.2021.125105
Accepted author manuscript, 429 KB, PDF document
Available under license: CC BY-NC-ND
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces
AU - Arnott, Max
AU - Laustsen, Niels
N1 - This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, 500 (1), 2021 DOI: 10.1016/j.jmaa.2021.125105
PY - 2021/8/1
Y1 - 2021/8/1
N2 - We classify the closed ideals of bounded operators acting on the Banach spaces (⊕n∈N l2n)c_0 ⊕ c0(Γ) and (⊕n∈N l2n)l_1 ⊕ l1(Γ) for every uncountable cardinal Γ.
AB - We classify the closed ideals of bounded operators acting on the Banach spaces (⊕n∈N l2n)c_0 ⊕ c0(Γ) and (⊕n∈N l2n)l_1 ⊕ l1(Γ) for every uncountable cardinal Γ.
KW - Banach space
KW - long sequence space
KW - bounded operator
KW - closed operator ideal
KW - ideal lattice
U2 - 10.1016/j.jmaa.2021.125105
DO - 10.1016/j.jmaa.2021.125105
M3 - Journal article
VL - 500
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
M1 - 125105
ER -