TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT
ABSTRACT: Hilbert space
is a very
important idea of
the Davids Hilbert
invention. In 1907,
Riesz and Fréchet developed one of the
theorem in Hilbert space
called the Riesz-Fréchet representationtheorem. This research
contains some supporting
definitions Banach space,
pre-Hilbert spaces, Hilbert
spaces, the duality
of Banach and Riesz-Fréchet representation theorem.
On RieszFréchet representation theorem
will be shown that a
continuous linear functional
that exist inthe Hilbert space is an inner product, in other words,
there is no continuous linear functional on a Hilbert space except the inner
product.
Penulis: MOZART W TALAKUA,
STENLY JONDRY NANURU
Kode Jurnal: jpmatematikadd110036
