On linearly dependent functions
نویسندگان
چکیده
منابع مشابه
Locally Linearly Dependent Operators
Let T be a linear operator defined on a complex vector space X and let n be a positive integer. Kaplansky [4] proved that T is algebraic of degree at most n if and only if for every x ∈ X the vectors x, Tx, . . . , Tnx are linearly dependent. One consequence of Kaplansky’s result is that if X is a Banach space and T : X → X a bounded linear operator, then T is algebraic if and only if for every...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1955
ISSN: 0528-2195
DOI: 10.21136/cpm.1955.117146