@inbook{4feee162f3da42a389185b610354315c,

title = "Calkin Images of Fourier Convolution Operators with Slowly Oscillating Symbols",

abstract = "Let be a Csubalgebra of L(formula presented) be the Banach algebra of slowly oscillating Fourier multipliers on a Banach function space X(ℝ). We show that the intersection of the Calkin image of the algebra generated by the operators of multiplication aI by functions a and the Calkin image of the algebra generated by the Fourier convolution operators W0(b) with symbols in (formula presented) coincides with the Calkin image of the algebra generated by the operators of multiplication by constants.",

keywords = "Calkin algebra, Calkin image, Fourier convolution operator, Fourier multiplier, Multiplication operator, Slowly oscillating function",

author = "Fernandes, {Cl{\'a}udio A.} and Karlovich, {A. Yu} and Karlovich, {Yu I.}",

note = "info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00297%2F2019/PT# The third author was also supported by the SEP-CONACYT Project A1-S-8793 (M{\'e}xico).",

year = "2021",

doi = "10.1007/978-3-030-51945-2_10",

language = "English",

isbn = "978-3-030-51944-5",

series = "Operator Theory: Advances and Applications",

publisher = "Birkh{\"a}user/Springer",

pages = "193--218",

editor = "Bastos, {M. A.} and L. Castro and {Karlovich }, {A. Y. }",

booktitle = "Operator Theory: Advances and Applications",

}