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Some complements and corrections to my papers on the theory of attractors for abstract semigroups
- Source :
- Journal of Soviet Mathematics. 62:2789-2794
- Publication Year :
- 1992
- Publisher :
- Springer Science and Business Media LLC, 1992.
-
Abstract
- In Sec. 1 a correction is given of the estimate of the Hausdorff dimension and an estimate of the fractal dimension of a bounded subset of a Hilbert space, semiinvariant with respect to a flattening transformation. In Sec. 2 the results, proved by the author for semigroups with a continuous group parameter t∈R+≡[0, ∞), are carried over to the case when t runs through the semigroup ℑ+≡{t∈ℑ∣t⩾0} of some additive group ℑ⊂R=(−∞, ∞).
Details
- ISSN :
- 15738795 and 00904104
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- Journal of Soviet Mathematics
- Accession number :
- edsair.doi...........1e78cf0661b783e8e6d109be8e3971e1