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Chaotic unbounded differentiation operators

✍ Scribed by Juan Bès; Kit C. Chan; Steven M. Seubert


Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
448 KB
Volume
40
Category
Article
ISSN
0378-620X

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Let T: D(T) CX--, Y be an unbounded linear operator where X and Y are normed spaces. It is shown that if Y is complete then T is strictly singular if and only if T is the sum of a continuous strictly singular operator and an unbounded finite rank operator. A counterexample is constructed for the cas