Is there a symbol for indicating one vector space is a subspace of another?

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    Subspace Symbol
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Discussion Overview

The discussion centers on the notation used to indicate that one vector space is a subspace of another. Participants explore different symbols and conventions in mathematical literature, considering both formal set notation and alternative representations.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant inquires about a specific symbol to denote that vector space V is a subspace of vector space W without using set notation.
  • Another participant mentions that the notation V ≤ W is commonly used, though it may vary by author.
  • A third participant suggests that while V ≤ W is widely accepted, it is not frequently utilized in practice.

Areas of Agreement / Disagreement

Participants express differing views on the existence and usage of a standard symbol for indicating subspaces, with no consensus on a universally accepted notation.

Contextual Notes

The discussion highlights the variability in notation across different authors and contexts, indicating that there may not be a definitive answer regarding the symbol for subspaces.

SprucerMoose
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Hi all,

I was just wondering, is there is a particular symbol to say V is a subspace of W?

I suppose V\subsetW works if I describe each (sub)space in set notation first, but I was wondering what I could use if I don't state W or V as a particular set?

Thanks
 
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This depends on which author you read. I think most don't have a notation for it. I always use V\leq W however...
 
My experience is that everybody agrees V \leq W is the notation, but nobody bothers using it
 
Thanks guys
 

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