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I am reading a new text, and I have come across the notation '$\Subset$' as well as '$\subset$'. Am I correct in assuming that '$\Subset$' is an alternative method of specifying an improper subset like the usual '$\subseteq$'?

user137769
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    What text? What's it all about? Context is everything. And have you consulted the end pages? Sometimes authors have a rundown of symbols there. – Jon Jan 17 '15 at 00:10
  • Thank you, I checked the end pages once and overlooked it the first time. – user137769 Jan 17 '15 at 00:21

2 Answers2

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The symbol has no standard meaning. It is up to each author who uses it to supply a definition and explanation of what he uses it to mean, early enough to avoid confusing the reader.

hmakholm left over Monica
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After scanning through the end pages more carefully, I found embarrassingly that I missed the answer the first time I looked! In this context (locally integrable functions under Lebesgue measure), the symbol was used to represent a subset whose closure is compact and is also a subset.

KCd
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user137769
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