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Title |
Linear Fractional Maps that Induce Compact Linear Operators |
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Author |
Zakieldeen Aboabuda Mohammed Alhassn Ali, Sara Mustafa Alshareef Gesmallh, Amna Mahmoud Ahmed Bakhit, Manal Yagoub Ahmed Juma, Isra Abdalhleem Hassan Ali, and Tahani Mahmoud Ahmed Mohamed |
| Citation |
Vol. 25 No. 1 pp. 175-185 |
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Abstract |
It is generally known that the difference of two composition operators formed by linear fractional self-maps of a ball cannot be nontrivially compactly contained in the Hardy space or any common weighted Bergman space. This study extends this finding in two important ways: Inducing maps are expanded to linear fractional maps that carry a ball into a second, and the difference is extended to generic linear combinations, potentially higher-dimensional space. |
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Keywords |
Fractional maps, Composition Operators, Compact Linear Operators. |
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