What is a continuous extension? - Mathematics Stack Exchange To find examples and explanations on the internet at the elementary calculus level, try googling the phrase "continuous extension" (or variations of it, such as "extension by continuity") simultaneously with the phrase "ap calculus" The reason for using "ap calculus" instead of just "calculus" is to ensure that advanced stuff is filtered out
is bounded linear operator necessarily continuous? In general, is a bounded linear operator necessarily continuous (I guess the answer is no, but what would be a counter example?) Are things in Banach spaces always continuous?