Category:Definitions/Functional Analysis
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This category contains definitions related to Functional Analysis.
Related results can be found in Category:Functional Analysis.
Functional analysis is a branch of analysis, which studies vector spaces endowed a structure such as inner product, norm or topology.
It can be understood as the study of analysis, including calculus, both differential and integral, to Banach spaces.
Subcategories
This category has the following 28 subcategories, out of 28 total.
B
D
E
F
H
- Definitions/Hilbert Cube (3 P)
I
L
N
P
- Definitions/P-Norms (5 P)
S
- Definitions/Sobolev Spaces (1 P)
T
W
- Definitions/Weak Solutions (3 P)
Pages in category "Definitions/Functional Analysis"
The following 72 pages are in this category, out of 72 total.
C
- Definition:Constant Distribution
- Definition:Constant Tempered Distribution
- Definition:Continuous Linear Transformation Space
- Definition:Continuous Mapping Space
- Definition:Continuous Real-Valued Function Space
- Definition:Continuously Embedded
- Definition:Contraction Mapping (Metric Space)
- Definition:Convergent Sequence/Test Function Space
- Definition:C^k Norm
D
- Definition:Densely-Defined Linear Operator
- Definition:Derivative of Tempered Distribution
- Definition:Differential Equation/Distributional
- Definition:Differential Equation/Solution/Weak Solution
- Definition:Dipole
- Definition:Dirac Delta Distribution
- Definition:Distribution
- Definition:Distribution Space
- Definition:Distributional Derivative
- Definition:Distributional Derivative/Higher Derivatives
- Definition:Distributional Partial Derivative
E
L
N
P
R
S
- Definition:Schwartz Space
- Definition:Schwartz Test Function
- Definition:Semi-Inner Product Space
- Definition:Sobolev Norm
- Definition:Sobolev Space
- Definition:Space of Almost-Zero Sequences
- Definition:Space of Bounded Sequences
- Definition:Space of Continuous Functions of Differentiability Class k
- Definition:Space of Convergent Sequences
- Definition:Space of Lipschitz Functions/One-Sided Shift of Finite Type
- Definition:Space of Real Polynomials
- Definition:Space of Real Polynomials of Degree n
- Definition:Space of Real-Valued Functions Continuous on Closed Interval
- Definition:Space of Zero-Limit Sequences
- Definition:Spectral Theory
- Definition:Sublinear Functional