Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...
Proceedings of the American Mathematical Society, Vol. 131, No. 5 (May, 2003), pp. 1539-1551 (13 pages) This paper provides a variety of sufficient conditions for the existence of a nonzero fixed ...
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Sebestyen’s theorem crosses into infinity after 40 years of mathematical limits
A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...
Abstract. In this paper, we consider three classes of bounded linear operators on a topological vector space with respect to three different topologies which are introduced by Troitsky. We obtain some ...
Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...
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