A Banach space with an infinite dimensional reflexive quotient algebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>X</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mrow><mml:mi mathvariant="script">SS</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>X</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
نویسندگان
چکیده
We construct a Banach space X of Gowers-Maurey type such that the algebra bounded operators L(X) is direct sum an infinite dimensional reflexive and operator ideal strictly singular SS(X).
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2023
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2023.108995