"Two or more vectors with various directions can be combined into a linear combination by multiplying by a scalar value. Linear addition and scaling are both recognized as elements of what is known as ...

Where do what come from? Linearly compact vector spaces are what fill in this blank: sets are to vector spaces as compact Hausdorff spaces are to ??? I’ll explain the exact sense in which that’s true, ...

Fuzzy normed linear spaces extend conventional normed spaces by integrating a degree of imprecision through fuzzy set theory, thereby quantifying uncertainty in the measurement of vector magnitude.

This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a subject that ...

Abstract Using the axiom of choice, we prove a generalized converse of the well-known fact that if X is a finite-dimensional vector space, then any linear functional on X is continuous with respect to ...