olemus
skalaarkorrutisruum, mis
skalaarkorrutise abil defineeritud kauguse
k(x, y) = ⟨x-y, x-y⟩^1/2
mõttes on täielik meetriline ruum
=
an inner product space that is complete with respect to the norm defined by the inner product; an infinite-dimensional analogue of Euclidean space

ülevaateid
https://mathworld.wolfram.com/HilbertSpace.html

http://sporadic.stanford.edu/bump/group/gr2_1.html

https://en.wikipedia.org/wiki/Hilbert_space

https://www.math.colostate.edu/~pauld/M645/BasicHS.pdf

http://www.ma.huji.ac.il/~razk/iWeb/My_Site/Teaching_files/Hilbert.pdf

rakendusi
https://www.isti.tu-berlin.de/fileadmin/fg214/QC15_03_basic_concepts_and_results_01.pdf

http://www.math.nagoya-u.ac.jp/~richard/teaching/s2016/HilbertM.pdf

https://www.ijircst.org/DOC/13_irp374_image_encryption_using_hilbert_space_filling_curve_and_henon_map.pdf