この手袋が彼女の手を暖める。

this (something or someone close to the speaker (including the speaker), or ideas expressed by the speaker)

glove; mitten; mitt

indicates sentence subject (occasionally object); indicates possessive (esp. in literary expressions); but; however; still; and

she; her; her; girlfriend; sweetheart

indicates possessive; nominalizes verbs and adjectives; substitutes for "ga" in subordinate phrases; (at sentence-end, falling tone) indicates a confident conclusion; (at sentence-end) indicates emotional emphasis; (at sentence-end, rising tone) indicates question

hand; arm; forepaw; foreleg; handle; hand; worker; help; trouble; care; effort; means; way; trick; move; technique; workmanship; hand; handwriting; kind; type; sort; one's hands; one's possession; ability to cope; hand (of cards); direction; move (in go, shogi, etc.)

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to warm; to heat