Hello, Mike,

Merriam-Webster's Dictionary (1997-2004) defines the
adjective oligodynamic in its primary meaning to be:
"active in very small quantities < an oligodynamic germicide> ."

The Hutchinson Encyclopedia (2000) defines it as
"pertaining to effect of small quantities; having effect
in small quantities only."

Stokvius explained the meaning of oligodynamism
in the Lancet, April 26, 1894.

Sir Lawrence Bragg in his text The Crystalline State,
in the section on Inorganic compounds, Structure types
of compounds AX and AX2 mentions the work of
Goldschmidt published in the Transactions Of The
Faraday Society, 255, 1924 in determining the
crystal structures of many metal oxides. Usually they
are zincblende, rutile or fluor types. But silver metal is a
face-centered-cubic according to Bragg (p. 146.)
So powder-pattern x-ray diffraction should show
quite a difference between suspensions of silver oxides
and silver metal.

Generating silver sol by electrolysis alone may or may not
be possible. But it would not violate the laws of thermodynamics. After all, 
silver sols can be generated
by non-electrolytic processes such as the colloid mill
invented by Veimarn in 1906. Also,  Arthur Thomas' text
Colloid Chemistry (1934) mentions that a suspension
of silver oxide can be reduced to a silver sol
by Kohlschutter's method, in which hydrogen gas is
bubbled through the silver oxide suspension (p. 115.)
Alternatively, silver oxide in aqueous suspension can
be converted to a silver sol by Svedberg's method,
illuminating it with ultraviolet light (p. 116.)

Best regards,

Matthew