:Have you looked at our c�dl�g and Borel functions articles?
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The spectral measures can be used to extend the continuous functional calculus to bounded Borel functions.
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The starting point of the proof is the imbedding of X into the Banach space of Borel functions on X, equipped with the sup norm.
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Are there any c�dl�g functions which aren't also Borel functions ?-- talk ) 18 : 03, 30 October 2011 ( UTC)
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Degrees given by Lipschitz functions are called " Lipschitz degrees ", and degrees from Borel functions " Borel-Wadge degrees ".
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More precisely, the Borel functional calculus allows us to apply an arbitrary Borel function to a self-adjoint operator, in a way which generalizes applying a polynomial function.
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As to the general definition of a matrix f ( A ) or f ( A, B ) & c, as function of one or more matrices, note that we do it also with operators in place of matrices, or even more generally, in abstract Banach algebras; the function f need not to be analytic, nor even continuous, but only a borel function may be sufficient, depending on the context.
How to say borel function in Hindi and what is the meaning of borel function in Hindi? borel function Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.
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