specifically in order theory and functional analysis, an abstract m-space or an AM-space is a Banach lattice ( X , ‖ ⋅ ‖ ) {\displaystyle (X,\|\cdot...

usefulness of the word "abstract". The word applies to properties and relations to mark the fact that, if they exist, they do not exist in space or time, but that...

In metaphysics, the distinction between abstract and concrete refers to a divide between two types of entities. Many philosophers hold that this difference...

(1991), Matrices and vector spaces, New York: M. Dekker, ISBN 978-0-8247-8419-5 Grillet, Pierre Antoine (2007), Abstract algebra, vol. 242, Springer Science...

In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric...

In computer science, an abstract data type (ADT) is a mathematical model for data types, defined by its behavior (semantics) from the point of view of...

The column space of an m × n matrix with components from F {\displaystyle F} is a linear subspace of the m-space F m {\displaystyle F^{m}} . The dimension...

in Lagrangian or Hamiltonian mechanics; these are abstract spaces, independent of the physical space. In mathematics, the dimension of an object is, roughly...

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...

coined the term Hilbert space for the abstract concept that underlies many of these diverse applications. The success of Hilbert space methods ushered in a...