Fundamentals of Linear Continuity

Louis Nel
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Louis Nel: Carleton University, School of Mathematics and Statistics

Chapter Chapter 6 in Continuity Theory, 2016, pp 175-250 from Springer

Abstract: Abstract Functional analysis uses mappings which are simultaneously continuous and linear. This calls for a blend of convergence and vector structures. Linear continuity adds significant insight and perspective to the study of continuous mappings. It is a great source of nontrivial examples of continuous mappings between infinite dimensional spaces. It will be seen in a later chapter to reveal remarkable properties of all continuous mappings while being also of considerable intrinsic interest in its own right.

Keywords: Convergence Vector Space; Null Filter; Gauge Space; Hub Space; Gauge Structure (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-31159-3_6

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