Meanings of not unhopeful in English

The eminent doctor said good-bye with a serious but not unhopeful expression.

And though he's not unhopeful of the issue of the fray

And I am not unhopeful about England, or about the Strand.

But now I noticed that the pseudo-bandits wore a watchful and not unhopeful air.

And her awaking to another day of labour, though by no means joyful, was yet not unhopeful or unhappy.

Cuthbert's face was grave but not unhopeful, and taking Cherry's hand firmly in his as she ended her tale, he said:

And indeed the contrition seemed to have gathered force in many a past fit of remorse, and now was deep but not unhopeful.

'Yet however you read it, it seems not unhopeful,' said Legolas.

"I will go and see," and I ran out again, still not unhopeful.

"But seriously, uncle, what do you mean to do?" asked Leonard Vandervell, who, with his brother, was not unhopeful that the Captain meditated something desperate.