On roots and logarithms of elements of a complex Banach algebra-Reference-Cited by-同舟云学术

On roots and logarithms of elements of a complex Banach algebra

Published:1958-02 Issue:1 Volume:136 Page:46-57
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Hille Einar

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/BF01350286/fulltext.html

Reference9 articles.

1. Campbell, J. E.: On a law of combination of operators bearing on the theory of continuous transformation groups. Proc. London math. Soc.28, 381?390 (1897);29, 14?32 (1898).

2. Foguel, R. S.: Sums and products of commuting spectral operators. Ark. f. Mat.3, no. 41, 449?461 (1957).

3. Halmos, P., G. Lumer andJ. J. Schäffer: Square roots of operators. Proc. Amer. math. Soc.4, 142?149 (1953); Part II [Halmos andLumer), Proc. Amer. math. Soc.5, 589?595 (1954).

4. Hausdorff, F.: Die symbolische Exponentialformel in der Gruppentheorie. S.-B. kgl. sächs. Ges. Wiss. Leipzig, Math.-phys. Kl.58, 19?48 (1906).

5. Hildebrandt, T. H., andL. M. Graves: Implicit functions and their differentials in general analysis. Trans. Amer. math. Soc.29, 127?153 (1927).

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On normal operator logarithms;Linear Algebra and its Applications;2013-07

2. PROPERTY L AND COMMUTING EXPONENTIALS IN DIMENSION AT MOST THREE;Bulletin of the Australian Mathematical Society;2013-06-28

3. Loop groups and twisted $K$-theory II;Journal of the American Mathematical Society;2013-02-07

4. Exponentials of bounded normal operators;Colloquium Mathematicum;2013

5. ESTIMATING CONTINUOUS-TIME MODELS ON THE BASIS OF DISCRETE DATA VIA AN EXACT DISCRETE ANALOG;Econometric Theory;2009-08