Feb 16, 2018 · Hilbert spaces are at first real or complex vector spaces, or are Hilbert spaces. So all the theorems and definitions of linear algebra apply to the finite-dimensional ones and …

Oct 23, 2013 · Hilbert spaces are not necessarily infinite dimensional, I don't know where you heard that. Euclidean space IS a Hilbert space, in any dimension or even infinite dimensional. …

Derivation of the Einstein-Hilbert Action Abstract Most people justify the form of the E-H action by saying that it is the simplest scalar possible. But simplicity, one can argue, is a somewhat …

Feb 20, 2017 · The discussion revolves around the characterization of mathematicians Hilbert and Poincaré as universalists, specifically questioning why Hilbert is not considered the last …

Mar 27, 2012 · A Hilbert space is a vector space with a defined inner product. This means that in addition to all the properties of a vector space, I can additionally take any two vectors and …

Mar 6, 2018 · The fact that the definition of Hilbert spaces doesn’t include any requirement on dimensionality is important here, although they are primarily meant to investigate infinite …

May 21, 2022 · David Hilbert and Pólya György had already noticed that the Riemann hypothesis would follow if the zeros were eigenvalues of an operator where is a Hermitian (i.e. self …

Oct 3, 2014 · The discussion revolves around the possibility of realizing the canonical commutation relations (CCR) in a finite-dimensional Hilbert space. Participants explore the …

Aug 11, 2023 · The discussion revolves around the experiences and opinions of participants regarding the reading of mathematical and theoretical physics textbooks, specifically Morse & …

May 27, 2016 · Some participants suggest that Hilbert spaces are used in quantum mechanics due to the non-commutative nature of observables and the requirement for operators to act on …