We construct right shift invariant subspaces of index n, 1 [ n [ ., in a p spaces, 2 < p < ., and in weighted a p spaces.
Invariant Subspaces of Operators on lp-Spaces
β Scribed by Y.A. Abramovich; C.D. Aliprantis; O. Burkinshaw
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 240 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
269 305) that a semigroup of matrices is triangularizable if the ranks of all the commutators of elements of the semigroup are at most 1. Our main theorem is an extension of this result to semigroups of algebraic operators on a Banach space. We also obtain a related theorem for a pair [A, B] of arbi
## Abstract We present bounded positivity preserving operators from __L__~__p__~(β) to __L__~__q__~ (__β__), for 1 < __p__ < β, 1/pβ1/q < 1/2, which are not integral operators.
## Abstract Let 1 β€ __p__ β€ β. A subset __K__ of a Banach space __X__ is said to be relatively __p__ βcompact if there is an γ__x__~__n__~ γ β __l__^__s__^ ~__p__~ (__X__) such that for every __k__ β __K__ there is an γ__Ξ±__~__n__~ γ β __l__~__p__ β²~ such that __k__ = Ο^β^~__n=1__~ __Ξ±__~__n__~ _