
arXiv: 1012.0275
Let be a compact linear (or more generally affine) operator from a Banach space into itself. For each , the sequence of iterates , , 1, and its averages , 1, are either bounded or approach infinity.
orbits, Mathematics - Operator Algebras, Dynamical Systems (math.DS), affine operators, Topological dynamics, averages, Functional Analysis (math.FA), Mathematics - Functional Analysis, 37A99, 47B06, 47A35, Linear operators defined by compactness properties, FOS: Mathematics, Mathematics - Dynamical Systems, Operator Algebras (math.OA), compact operators
orbits, Mathematics - Operator Algebras, Dynamical Systems (math.DS), affine operators, Topological dynamics, averages, Functional Analysis (math.FA), Mathematics - Functional Analysis, 37A99, 47B06, 47A35, Linear operators defined by compactness properties, FOS: Mathematics, Mathematics - Dynamical Systems, Operator Algebras (math.OA), compact operators
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