Here is the answer from Wikipedia:
A
trademark or
trade mark[1] is a distinctive
sign or indicator used by an individual,
business organization, or other
legal entity to identify that the
products or
services to
consumers with which the trademark appears originate from a unique source, and to distinguish its products or services from those of other entities.
A trademark is designated by the following symbols:
- ™ (for an unregistered trade mark, that is, a mark used to promote or brand goods)
- ℠ (for an unregistered service mark, that is, a mark used to promote or brand services)
- ® (for a registered trademark)
A trademark is typically a name, word, phrase,
logo,
symbol, design, image, or a combination of these elements.
[2] There is also a range of
non-conventional trademarks comprising marks which do not fall into these standard categories, such as those based on color, smell, or sound.
The owner of a registered trademark may commence
legal proceedings for
trademark infringement to prevent unauthorized use of that trademark. However, registration is not required. The owner of a common law trademark may also file suit, but an unregistered mark may be protectable only within the geographical area within which it has been used or in geographical areas into which it may be reasonably expected to expand.
The term
trademark is also used informally to refer to any distinguishing attribute by which an individual is readily identified, such as the well known characteristics of celebrities. When a trademark is used in relation to services rather than products, it may sometimes be called a
service mark, particularly in the
United States.
[2]
There is more definition at this site. My business coach encourages everyone to register their name and logo...so, my answer is "yes".