Hello!(adsbygoogle = window.adsbygoogle || []).push({});

I have noticed that most advanced textbooks on QM start the development of the subject with a long review of linear algebra. In particular, they talk about pre-Banach, Banach, pre-Hilbert, Hilbert spaces and so on. Why is it necessary to invoke such abstract spaces in order to describe the physical reality? I mean, for example, why do you need that every Cauchy sequence converges within the space to have something physically meaningful?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# QM mathematical structure

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**