It's a palm of some sort, not hardy, its an indoor one, but it doesn't look completely dead anyway. Wait till the end of the month, see if there's new growth, then trim away the dead and tatty looking stems, but don't damage the central growing point. If you wanted a palm in the garden that is hardy, the truly reliable one is Trachycarpus fortunei.

Hi, welcome to GoY, I agree with Bamboo, a lot of garden centres sell Phoenix canariensis, {canary island date palm} as if they are hardy plants, which they're not, although a lot of people like the look of them in their gardens, they should only be put in the garden in large pots, for a couple of months in summer, and then either taken into a conservatory or warm greenhouse for winter, and I think this is probably what you have.
Although I personally would love a phoenix canariensis in my garden, I have to be content with a trachycarpus fortuneii, the 1 in my garden has a trunk almost 6ft high before the branches, and flowers every year, with small yellow flowers in large pendant panicles about 2ft long all around the trunk, if you want to click on my avatar, it will take you to my profile page, where you can click on my photo's, there are 2 or 3 photo's of it on there, Derek.

I'm not 100% sure this is even Phoenix canariensis, Derek - it looks much more like my Ikea palm out on the landing, which definitely isn't...

Hi Bamboo, I'm not 100% either, I suggested this because it's the 1 you see in every garden centre, although the leaves do look to me more like Archontophoenix alexandrae, but I've never seen these for sale in UK, Derek.