Essays in analysis Topological vector spaces

نویسنده

  • Bill Casselman
چکیده

Infinite-dimensional spaces are ubiquitous in many branches of mathematics, and their topologies are almost always interesting. Samples of spaces that one is sure to encounter areCc(R),C (R),L(R), and their continuous linear duals. There are two good reasons for making oneself at least somewhat familiar with the subject. On the one hand, without some preparation, it is easy to make false statements about any of these. On the other, there are many positive results in the subject that can save one an enormous amount of work.

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تاریخ انتشار 2012