For a magma chamber to form, the right conditions have to exist, including particular temperatures, pressures, and structural formations. Magma chambers are under such great pressure that, over time, they can eventually break the rock surrounding the chamber.
A vector space on which a norm is defined is then called a normed vector space. Normed vector spaces are central to the study of linear algebra and functional analysis.imilarly, for any semi-normed vector space we can define the distance between two vectors u and v as â u â v â. This turns the seminormed space into a pseudometric space (notice this is weaker than a metric) and allows the definition of notions such as continuity and convergence.
CHAPTER IVNORMED LINEAR SPACES AND BANACH SPACESDEFINITION A Banach space is a real normed linear space that is acomplete metric space in the metric deï¬ned by its norm. A complexBanach space is a complex normed linear space that is, as a real normedlinear space, a Banach space.X n are normed linear spaces, show that the direct sum ni=1 X i, equipped with the max norm, is a normed linear space. If eachX i is a Banach space, show thatL ni=1 X i is a Banach space.(f) Let X 1 ,...