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Shilov's Linear Algebra writes a matrix with two bars on each side rather than square brackets. I didn't find any mention of it with a quick Google search, and I can't see any other examples this double bar notation.

Does it mean something other than a matrix? Is it an older notation? Or is it something else?

Thank you

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    Yes, it's a matrix (he uses double bars where most other people would use parentheses or brackets). Look at the definition [here](http://books.google.com/books?id=5U6loPxlvQkC&pg=P$A$5).2011-10-10

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It looks like he means a matrix when he uses double bars:

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He uses the standard notation for a determinant, i.e. single bars:

enter image description here

I don't know if his notation for matrices was something that was common at the time he wrote the book, but I don't think it's popular now.

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    Yeah, he made it clear that it was a matrix. But not being able to find a reference to the notation anywhere else was a bit disconcerting. Thanks!2011-10-10