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The interrelations among various spaces of distributions
Bulletin of the Australian Mathematical Society
In this paper we discuss the interrelations among various spaces of distributions and show that none of them can be linearly and differentiably homeomorphic to the space of Mikusinski operators. It is also shown that the distributions of Mikusinski-Sikorski can also be defined by the method described by Temple as the completion of the space of continuous functions after introducing a weaker notion of convergence in this space. In this paper we develop the theory of infinite distributions anddoi:10.1017/s0004972700046554 fatcat:2it6jkcrfbeclfm4bxhkpsa32e