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cannot tell if Euclidean space is a Hilbert space from the article as it currently stands. How about using Euclidean space as the first example? Show...

product of Hilbert spaces (in the section on universal property of the article `Tensor product of Hilbert spaces') is incorrect. (The notion of Hilbert--Schmidt...

interest in these subjects. The hilbert space article is somewhat similar, there are prerequisites to knowing a hilbert space that are simply unavoidable...

20:41, 5 July 2008 (UTC) Some examples from the text... "the success of Hilbert space methods ushered in a very fruitful era for functional analysis." Did...

rigged Hilbert space, neither of them formal. It would be better to say something on the order of: "A rigged Hilbert space is a Hilbert space H together...

the article but here. Shouldn't it be _complex_ finite dimensional Hilbert spaces for it to form a monoidal category? What is the tensor unit otherwise...

},\theta } real. Thus we can alter the phase of the element of the Hilbert space. —Preceding unsigned comment added by Nardis miles (talk • contribs)...

every hilbert space encountered by a naive physicist is a reproducing kernel hilbert space. So it now becomes hard to imagine a Hilbert space that doesn't...

introduced an error I think! The first paragraph reads : In mathematics, a Hilbert space is a to extend concepts from plane geometry to more general settings...

nonsurjective isometry. the pretty obvious fact that the unit sphere in Hilbert space can be mapped (linear) isometrically onto its own equator is not essential...

history. In this spirit, it would not do to say that a Hilbert space is a complete metric space. However, I am increasingly inclined to agree with you...

nuclear Hilbert space operators (i.e., trace-class operators), which is not what this article should be about, namely, nuclear operators on nuclear spaces. Improving...

different state in the same single particle Hilbert space or if it is a state in a two-particle Hilbert state. Can somebody who knows clarify the article...

set of orthonormal N-frames in Hilbert space. So for N=1, this reduces to the case of the unit sphere in Hilbert space - which is contractible - see e...

sentence is wrong: A Krein space is a Hilbert space which has an additional structure: An inner product But Hilbert spaces have an inner product, that's...

Thenub314 (talk) 13:26, 23 February 2023 (UTC) It seems to me that the Hilbert space being considered must be L 2 ( − π , π ) {\displaystyle L^{2}(-\pi ...

Hamel dimension of the Hilbert cube as a Hilbert Space is decidedly NOT countable (as a consequence of the completeness of the Hilbert cube and the Baire...

question; it should be changed as soon as someone more familiar with Hilbert spaces checks this fact.) Owlcatowl (talk) 04:34, 23 February 2008 (UTC) I've...

attempting to repair this problematic formula, which also occurs in Hilbert space: x ∗ ∈ H 1 ∗ → x ∗ ( x 1 ) x 2 {\displaystyle x^{*}\in H_{1}^{*}\to...

redirect that to "partially ordered vector space". On the other hand, positive operators in Hilbert space certainly do deserve an article on them. The...