@johncarlosbaez@mathstodon.xyz
@vnikolov@ieji.de @MartinEscardo@mathstodon.xyz - I think the idea of 'bounded operator' is kind of obvious compared to the definition of 'Banach space', and in quantum mechanics the deep and important definition is that of 'self-adjoint operator', not necessarily bounded.
In short, I don't think 'bounded operator' is a concept with magical power, while 'Hilbert space' and 'self-adjoint operator' do have magical power.
@vnikolov@ieji.de
Thank you.
I made a mistake, I should have asked about "self-adjoint operator".
@johncarlosbaez@mathstodon.xyz @MartinEscardo@mathstodon.xyz