Random approximations and random fixed point theorems.
Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces.
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators
The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then is representable by a unique self-adjoint (possibly unbounded) operator .
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators II
The paper considers the representation of non-degenerate bilinear forms on the non-Archimedean Hilbert space by linear operators. More precisely, upon making some suitable assumptions we prove that if is a non-degenerate bilinear form on , then is representable by a unique linear operator whose adjoint operator exists.