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"finite dimensional" is a correct and usable phrase in written English.
It can be used to describe an entity (like a space or set) that can be bounded by a finite number of dimensions. For instance, you might say: "The physical space we inhabit is finite dimensional, having three dimensions of length, width, and height."
Exact(43)
Moreover, is finite dimensional continuous.
Hence (H^) is finite dimensional.
Step 1. Finite Dimensional Theory.
Let is finite dimensional and.
Then Z is a finite dimensional space.
Thus, which implies that is finite dimensional.
Similar(17)
simply-connected finite-dimensional Lie groups; finite-dimensional Lie algebras; irreducible cocommutative finitely generated Hopf algebras.
Let be a finite-dimensional Hilbert space.
Let be a finite-dimensional space and.
Every finite-dimensional vector space is free, being generated by any choice of basis.
All finite-dimensional inner product spaces are complete, and I will restrict myself to these.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com