I would integrate the tv into the beautiful bookcase, maybe put a sofa table behind the coach by the window to bring the two coaches a little closer together. Also the coffee table is too small to accommodate both the coaches, as is the carpet in my opinion...

I would find that so distracting the TV in front of bookcase, you could put nice doors on the centre shelves behind TV and use a different TV cabinet

Definitely move the television. The bookcases should be the focal point, not the t.v.

I'd try Carolins suggestion and take my visual cue from the room photo above called "Roseview, Mt. Washington." So often we make the mistake of thinking we have to place all of our sofas against walls. I'd love to see what you try and a few more perspectives on your room.

Thank you for the suggestions. Do you think I will need to leave some space between the library and the sofa?

Yes, otherwise you can't get to your books. What are the measurements of your room? From wall to library is fine, and from window wall to end of library...

wall to library 4.50 meters and window to end of the library 5.60.
The problem that in the wall there is a small entrance and the lenght is 2.30 meters

What does your window wall look like and measure?

Your glass desk looks like it would be great at that end of the room!
Please share 1 or 2 more photos.

I like the idea of 2 sofas facing each other similar to the West End London apartment photo with a sofa table behind one or both. Or one sofa could be two chairs with a table in between. I would look at building bookshelves on the opposite wall similar or matching the other, or purchasing a nice wooden TV cabinet.

I took a picture of the table, the door that takes you to the balcony and the window. Thank you so much.

I had to convert your meters to feet and inches, since I use an online roomplanner that only uses those, and I hope I've got the layout of your room right. Wasn't totally clear about the desk area. Here are different options of how you could layout your room with the TV opposite the library. I put the sizes of the sofas I used (used the same sofa in each plan) in some of the floorplans so you have an idea of scale. If you go shopping for a new sofa, keep measurements in mind.

If you click on the pics they will enlarge. Here's the last one. Used a larger rug for this one.

I don't know if you have lights in/on your library. If not, it's something to think about.
.

What happened to Andy? : o
I returned this morning to see new photos of the changes he's beginning to make...... MIA? ; )

Carolines you are great!!.
Sorry that I didnt came back before, I was out of the city.
We are 5 at home, I prefer to have two big sofas. Last option is awesome, in the paper it seams such a big space. I will make the convertions to cm and come back to you.
the weekend it will be a great moment.
Regarding the lights for the library any other recomendation? I will love to put something simpler. Thank you to everyone.

It does look bigger on the floorplans. Maybe I used slightly smaller sofas than the ones you have now. Or there's something wrong with the measurements in the online roomplanner (hope not). Where in the world are you? Here are the links to the coffee table, sofa and chair I used, just for fun so you can see how I see it in my mind. http://www.crateandbarrel.com/montclair-2-seat-sofa/s228879
http://www.crateandbarrel.com/clara-chair/s270143
http://www.mgbwhome.com/ALLURE-ROUND-TABLEBR-available-online--P11801.aspx

You could try the layout out with your current sofas, see if it works. If you go sofa shopping, take measurements and tape them out on the floor so you can see how much space they take up.

You could look at picture lights for your bookcases. Even if you mount them on the shelf below the top, you'll still have a nice, atmospheric light on your books in the evening. I can't see any ceiling lights? There are even remote controlled picture lights that are battery operated. A case of shopping around where you live and see what's available :-)
http://www.homedepot.com/p/Rite-Lite-8-LED-Black-Wireless-Picture-Light-with-Remote-Control-LPL601XLBRC/203293086?N=5yc1vZc7pq

I would modify the amazing bookcases that you have in space to add the tv....Consider an ebony ghost coating to the shelfs.....

I would suggest a nice deep sectional sofa.

I have a few blog posts that may help

www.timothyriversinteriors.com/blog