About: Locally finite operator

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In mathematics, a linear operator is called locally finite if the space is the union of a family of finite-dimensional -invariant subspaces. In other words, there exists a family of linear subspaces of , such that we have the following: * * * Each is finite-dimensional. An equivalent condition only requires to be the spanned by finite-dimensional -invariant subspaces. If is also a Hilbert space, sometimes an operator is called locally finite when the sum of the is only dense in .

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  • In mathematics, a linear operator is called locally finite if the space is the union of a family of finite-dimensional -invariant subspaces. In other words, there exists a family of linear subspaces of , such that we have the following: * * * Each is finite-dimensional. An equivalent condition only requires to be the spanned by finite-dimensional -invariant subspaces. If is also a Hilbert space, sometimes an operator is called locally finite when the sum of the is only dense in . (en)
  • Inom matematiken är en linjär operator lokalt finit om rummet är unionen av en familj av finit-dimensionella -. Med andra ord, det existerar en familj av linjära underrum av , sådan att: * * * Varje är finit-dimensionell. (sv)
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  • In mathematics, a linear operator is called locally finite if the space is the union of a family of finite-dimensional -invariant subspaces. In other words, there exists a family of linear subspaces of , such that we have the following: * * * Each is finite-dimensional. An equivalent condition only requires to be the spanned by finite-dimensional -invariant subspaces. If is also a Hilbert space, sometimes an operator is called locally finite when the sum of the is only dense in . (en)
  • Inom matematiken är en linjär operator lokalt finit om rummet är unionen av en familj av finit-dimensionella -. Med andra ord, det existerar en familj av linjära underrum av , sådan att: * * * Varje är finit-dimensionell. (sv)
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  • Locally finite operator (en)
  • Lokalt finit operator (sv)
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