An auxiliary normed space is like a special room where you can measure things in a really fancy way.
Imagine you have a bunch of toys and you want to organize them by size. You can use a ruler to measure them, but what if you want to measure them in a special way that takes into account their weight, or their color, or their shape? That's where an auxiliary normed space comes in!
An auxiliary normed space is a kind of tool that lets you measure things in a special way. It's like a ruler, but more powerful. In fact, you can use it to measure lots of different things that a regular ruler can't handle.
So, going back to the toy example, let's say you want to measure the toys not just by size, but also by weight. You could use an auxiliary normed space to create a special measuring system that takes into account both size and weight. This way, you can easily sort your toys based on their overall size and weight, rather than just their size alone.
Overall, an auxiliary normed space is like a super-powered ruler that lets you measure things in very unique and specific ways. It's a valuable tool for solving problems that require more than just basic measurements.