NDLI: Generalized indices of operators inB(H)

Content Provider	Springer Nature Link
Author	Ma, Jipu
Copyright Year	1997
Abstract	A generalized dimension is further developed. Here subtraction and addition of two generalized dimensions are defined, so that the operations: ∞ ± n = ∞, ∞ + ∞ = ∞, which used to play an inflexible role, are refined and moreover, ∞ - ∞, which used to be meaningless, is done in sense. Then generalized index for semi-Fred-holm operators is developed to wholeB(H), i.e. all of bounded linear operators in Hilbert spaceH. Theorem 2.2 is proved with an example, which is in contradiction to a known proposition for semi-Fredholm operators in form, practically a refined result of the known proposition. Then, it is proved thatB(H) is the union of countably many disjoint arewise connected sets over all the generalized dimensions ofB(H).
Starting Page	1233
Ending Page	1238
Page Count	6
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	40
Issue Number	12
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	1997-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	index dimension bounded linear operator Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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