Category:Functional Analysis
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This category contains results about Functional Analysis.
Definitions specific to this category can be found in Definitions/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 48 subcategories, out of 48 total.
B
- Banach Fixed-Point Theorem (8 P)
- Banach-Alaoglu Theorem (10 P)
- Banach-Steinhaus Theorem (10 P)
- Bilinear Forms (Functional Analysis) (empty)
C
- Continuous Operators (1 P)
D
- Distributional Partial Derivatives (empty)
E
F
- Fredholm Operators (3 P)
H
- Hahn-Banach Separation Theorem (16 P)
- Hahn-Banach Theorem (9 P)
I
L
- Lipschitz Norm (empty)
- Lipschitz Spaces (empty)
N
P
- P-Norms (8 P)
- P-Sequence Spaces (1 P)
R
- Resolutions of the Identity (7 P)
- Riesz's Lemma (4 P)
S
- Sobolev Spaces (3 P)
T
- Test Function Space (empty)
W
Pages in category "Functional Analysis"
The following 52 pages are in this category, out of 52 total.
B
C
D
F
H
I
L
P
R
- Reflexive Riesz Lemma
- Resolvent Mapping Converges to 0 at Infinity
- Resolvent Mapping is Analytic/Bounded Linear Operator
- Resolvent Mapping is Analytic/Bounded Linear Operator/Proof 1
- Resolvent Mapping is Analytic/Bounded Linear Operator/Proof 2
- Reverse Hölder's Inequality for Sums
- Riesz's Lemma
- Riesz-Kakutani Representation Theorem
- Ruelle-Perron-Frobenius Theorem
S
- Space of Bounded Sequences with Pointwise Addition and Pointwise Scalar Multiplication on Ring of Sequences forms Vector Space
- Space of Bounded Sequences with Supremum Norm forms Banach Space
- Space of Continuous on Closed Interval Real-Valued Functions with Pointwise Addition and Pointwise Scalar Multiplication forms Vector Space
- Space of Continuous on Closed Interval Real-Valued Functions with Supremum Norm forms Banach Space
- Space of Continuously Differentiable on Closed Interval Real-Valued Functions with Pointwise Addition and Pointwise Scalar Multiplication forms Vector Space
- Space of Lipschitz Functions is Banach Space/Shift of Finite Type
- Space of Piecewise Linear Functions on Closed Interval is Dense in Space of Continuous Functions on Closed Interval
- Space of Somewhere Differentiable Continuous Functions on Closed Interval is Meager in Space of Continuous Functions on Closed Interval
- Space of Somewhere Differentiable Continuous Functions on Closed Interval is Meager in Space of Continuous Functions on Closed Interval/Corollary
T
- Test Function Space with Pointwise Addition and Pointwise Scalar Multiplication forms Vector Space
- Transfer Operator on Lipshitz Functions on Shift Space is Linear Bounded Operator
- Transfer Operator with respect to One-Sided Shift Space of Finite Type is Linear Bounded Operator
- Transformation of P-Norm