Longman Dictionary of Contemporary English
personal space
noun
EXAMPLES FROM CORPUS
▪ Administrators, not teachers, are those blessed with personal space and offices.
▪ At the other end of the scale for maintaining personal space was, ironically, the Open and Welcoming Approach.
▪ But personal space is also an issue in outer space.
▪ But perhaps the demise of the days of the personal space tactics is not all bad.
▪ She objected to this invasion of her personal space.
▪ Terri's personal space occupied an area roughly the size of Mull and therefore required vigorous defences.
▪ The fact is that at Preston station I lost my personal space.
▪ There used to be techniques for keeping your personal space personal; the sort of essential info that every seasoned traveller knows.
Wiktionary
personal space
n. 1 The physical space closely surrounding a person, which can lead to discomfort, anger or anxiety if encroached on. 2 An area which can be regarded as belonging to a person privately, in which to place belongings etc.