Cheng Bo
Abstract
Some properties of sub-normed linear spaces are discussed and by introducing the concept of a Q-space, analogues of the inverse operator theorem, the open mapping theorem and the closed graph theorem are established in sub-normed linear space setting.
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Some properties of sub-normed linear spaces are discussed and by introducing the concept of a Q-space, analogues of the inverse operator theorem, the open mapping theorem and the closed graph theorem are established in sub-normed linear space setting.
Key concepts: Closed graph theorem, Mathematics, Open mapping theorem (functional analysis), Bounded inverse theorem, Unbounded operator, Normed vector space, Inverse, Discrete mathematics