It's just a visual aid to show that widely (vertically) spaced notes or chords are to be associated with a particular voice/hand. The clearest example is in the Rachmaninoff Prelude in C# minor.
In m. 52 it is impossible to play all four staves exactly as written. The brackets just clarify which hand is to play which parts.

(IMAGE SOURCE: IMSLP)
The same is true in the Rachmaninoff at m. 28. The bracket just helps the eye see at the same time both the whole-note C# and the B quarter-note two octaves higher and to clarify that both should be played with the left hand.

(IMAGE SOURCE: Ibid.)
The function is the same in the Gershwin. The notes can be played together (if possible) or separately (if necessary), but they are to be played with the left hand. Note the difference between m. 14, which includes brackets, and the same chords in m. 28, which does not, as there is no doubt about which hand does what.

(IMAGE SOURCE: IMSLP)

(IMAGE SOURCE: Ibid.)
The brackets are related to the L-shaped brackets discussed in What does the L-shaped symbol attached to C5 and G4 on the top staff mean?
Note that in Gershwin's Prelude #1, m. 53, and in Rachmaninoff's Prelude Op. 23, No. 6, final measure, standard arpeggiation symbols are used where that articulation is explicitly desired.

(IMAGE SOURCE: IMSLP)

(IMAGE SOURCE: IMSLP)