Grand Hotel  Suggested by donshottype 

I don't think this is a font - I think they had it designed for them -

If you are looking for some things that have - the feeling - of this try

Hamburger Heaven: http://www.dafont.com/hamburger-heaven.font?text=The+Beverly+Hills+Hotel

Or SignDNA's Krackle: http://signdna.com/shop/index.php?main_page=advanced_search_result&search_in_description=1&keyword=krackle

Custom lettering, monoline with an Art Deco style.
Far from a match to the letterforms, but for a similar tone you might substitute something like Grand Hotel.
Don

Your image is apparently derived from the outside sign http://www.myfonts.com/WhatTheFont/forum/case/476562/
Compare to to the lettering as used in a letterhead or card http://www.myfonts.com/WhatTheFont/forum/case/52359/
Has a few additional letters.
Don

https://www.behance.net/gallery/19011257/Graphics-for-the-Beverly-Hills-Hotel

Interesting comment on typefaces that influenced the Beverly Hills Hotel signage, by Allan Haley in 2013:
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In 1940, a new wing was added to the hotel by architect Paul Williams, who was reportedly also responsible for the now legendary signage. While based on hand lettering rather than a typeface design, the script is indicative of typefaces drawn in the 1930s and 1940s. You only need to look to the Coronet, Gillies Gothic or Park Avenue typefaces (all designed in the 1930s) to see the heritage of the Beverly Hills Hotel lettering. Tall sweeping ascenders that serve as elegant counterpoints to the design’s diminutive x-heights mark each typeface. Generously flowing capital letters also add to the stylish and expansive nature of the designs. - See more at: http://www.monotype.com/blog/typography-and-cities-beverly-hills
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Don