Themba Dube
Abstract
We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters. In particular we study in depth the frame-theoretic analogue of subspaces that are known in the literature as almost bounded or H-bounded.
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We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters. In particular we study in depth the frame-theoretic analogue of subspaces that are known in the literature as almost bounded or H-bounded.
Key concepts: Mathematics, Bounded function, Linear subspace, Quotient, Frame (networking), Pure mathematics, Discrete mathematics, Algebra over a field