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It means companies, with are not monopolists, not big

Cuidado con las traducciones:
Unipersonal Company: http://www.deloitte.com/dtt/article/0,1002,sid%3D48497%26cid...
http://www.creativeconomy.org.uk/ResourcesDL/DL_60.pdf

Una empresa unipersonal no puede ser un SOLE TRADER, porque una empresa unipersonal hay que registrarla en el registro de empresas, y el dueño aporta parte de sus bienes. La responsabilidad está limitada a los bienes aportados. Si la empresa no paga las deudas los bienes de la empresa pueden ser usados para pagar estas, pero no los bienes personales del dueño. Mientras que un Sole Trader no registra una empresa, ni un nombre, y es totalmente responsable de las deudas que tenga en el negocio.
http://www.actualicese.com/editorial/blog/2005/03/02/empresa...

Según este artículo en Wikipedia a Solepropietorship tampoco tiene limited liability con lo cual no puede ser una empresa unipersonal que SÍ tiene limited liability.



http://www.confecamaras.org.co/seccion_camaras/area_juridica...


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Note added at 2 hrs (2007-06-30 12:58:34 GMT)
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También creo que Manuela tiene razón, en este contexto puede ser que no se estén refiriendo a la identidad jurídica de la empresa, sino al hecho de que son empresas de ' one man and his dog', o sea one-man business como dice Manuela.

If this is for Spain, one of the most common translation mistakes is to confuse "empresas unipersonales", "sociedades unipersonales", etc. with sole proprietor(ships) or sole traders. In Spain a person in business for himself (usually called "sole proprietor" in the US or "sole trader" in the UK) is called "empresario individual". In contrast an "empresa/sociedad unipersonal" refers to single shareholder or member companies/corporations (there are two types in Spain: "sociedad de responsabilidad limitada unipersonal" (single-member limited liability company) and "sociedad anónima unipersonal" (single-shareholder corporation, or for the UK single-shareholder public limited company)

"unipersonal company" is a literal translation from Spanish which, in my opinion, is fairly meaningless, especially when "single-shareholder/member companies" is an appropriate rendering.

For a similar debate see:

http://www.proz.com/kudoz/1867064

It is a common translation mistake to translate "unipersonalidad", "sociedad unipersonal", etc. as "sole proprietorship". A sole proprietorship is the business owned by a sole proprietor/sole trader (UK) and is the simplest form of business, being an individual who goes into business for himself. In Spain a sole proprietor is called "empresario individual". He is not incorporated, does not have limited liability and bears full responsibility for all management decisions of his business.

In contrast, "sociedades unipersonales" are (incorporated) companies with one member. There are two types in Spain "sociedad (de responsabilidad) limitada unipersonal" = single-member limited liability company (or) single-member private limited company (UK) and "sociedad anónima unipersonal" = single-shareholder corporation (or) single-shareholder public limited company (UK). For the "sociedad (de responsabilidad) limitada" I use the term "member", since Spanish law prohibits participations in S.L.'s from being called shares ("acciones"), and, thus, "socios" of an S.L. cannot be called "shareholders" ("accionistas").