Strictly singular non-compact operators on a class of HI spaces
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spacesclassnon-compactoperatorssingularstrictlyboundedbuilt
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We present a method for constructing bounded strictly singular non-compact operators on mixed Tsirelson spaces defined either by the families (A_n) or (S_n) of a certain class, as well as on spaces built on them, including hereditarily indecomposable spaces.
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