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

[SprucerMoose]

Hi all,

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

I suppose V$$\subset$$W 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

 

[micromass]

This depends on which author you read. I think most don't have a notation for it. I always use $$V\leq W$$ however...

 

[Office_Shredder]

My experience is that everybody agrees $$V \leq W$$ is the notation, but nobody bothers using it

 

[SprucerMoose]

Thanks guys

 

[CellCoree]

for any help!

I can confirm that there is indeed a symbol to denote that one vector space is a subspace of another. The symbol is \subseteq, which means "is a subset of". So, in this case, V \subseteq W would indicate that V is a subspace of W. This symbol is commonly used in mathematics and is recognized by most scientists and mathematicians. However, if you do not want to specify the sets V and W, you could also use the symbol \leq, which means "is less than or equal to". This would indicate that the subspace V is smaller than or equal to the vector space W. I hope this helps with your notation!