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What does it mean to be strictly-strictly continuous?

  1. Aug 13, 2012 #1
    What does it mean to be "strictly-strictly" continuous?

    I am unsure what it means to be "strictly-strictly" continuous. Is that the same thing as saying just "strictly" continuous?

    Here is the context:
    [itex]\alpha [/itex] is a unital [itex]*[/itex]-homomorphism from [itex]M(A)[/itex] to [itex]\mathcal{L}(A)[/itex] such that [itex]\alpha [/itex] is strictly-strictly continuous on the unit ball of [itex]M(A)[/itex]

    ([itex]M(A)[/itex] is the multiplier algebra of [itex]A[/itex], and [itex]\mathcal{L}(A)[/itex] is the set of adjointable operators on [itex]A[/itex])
  2. jcsd
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