The Angle Along a Curve and Range-Kernel Complementarity
نویسندگان
چکیده
We define the angle of a bounded linear operator A along curve emanating from origin and use it to characterize range-kernel complementarity. In particular we show that if $$\sigma (A)$$ does not separate 0 $$\infty $$ , then $$X=R(A)\oplus N(A)$$ only R(A) is closed some less than $$\pi . first apply this result invertible operators have spectral set Next extend notion Banach algebras prove two characterizations elements in semisimple $$C^*$$ commutative algebra respectively, whose spectrum
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2021
ISSN: ['0378-620X', '1420-8989']
DOI: https://doi.org/10.1007/s00020-021-02661-5