Talk:Holomorphic functional calculus
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[edit] Typo -- graphy
The text will be easier to read if the typography is changed from T to T. Bo Jacoby 21:33, 29 January 2006 (UTC)
- Be my guest. :) As long as you don't introduce extra PNG images, as per the math style manual. Oleg Alexandrov (talk) 03:26, 30 January 2006 (UTC)
[edit] example in article
the example re logarithms is maybe not the best e.g. to motivate the construction. it is known from matrix theory that every nonsingular matrix has a logarithm. and the holomorphic functional calculus naturally doesn't extend this result. the example and the accompanying remarks could lead a reader to believe otherwise. if the point is one can not simply replace the scalar variable by the operator T in a series, well, one can, as long as the series converges in a sufficiently large neighborhood containing σ(T), in which case it coincides with the functional calculus(as one would hope). Mct mht 00:54, 1 August 2006 (UTC)
