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Let X be a Banach space with an unconditional basis, and let C ? {0} be a collection of continuous linear operators with modulus on X that is finitely modulus-quasinilpotent… Click to show full abstract
Let X be a Banach space with an unconditional basis, and let C ? {0} be a collection of continuous linear operators with modulus on X that is finitely modulus-quasinilpotent at a non-zero positive vector. Then C and its right modulus sub-commutant C'm have a common non-trivial invariant closed ideal.
Keywords:
finitely quasinilpotent;
operators modulus;
quasinilpotent operators;
ideals finitely;
hyperinvariant ideals;
modulus hyperinvariant
Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!