On the Merits of Two Different Topologies on the Dual of a Hilbert Space
Abstract
Two topologies of a Hilbert space l 2 is considered in this work. To wit normedvector space, which is its natural topology and weak topology. Among other properties we showed that the closed unit ball S is not compact when l 2∗ is given its topology as a Banach space. On the other hand S is compact when l 2∗ is given its weak topology.
References
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2016-06-25
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How to Cite
On the Merits of Two Different Topologies on the Dual of a Hilbert Space. (2016). Asian Journal of Applied Sciences, 4(3). https://ajouronline.com/index.php/AJAS/article/view/3908
