# 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.

## Subcategories

This category has the following 12 subcategories, out of 12 total.

### B

### D

### E

### H

### L

### N

### T

## Pages in category "Functional Analysis"

The following 34 pages are in this category, out of 34 total.

### C

### P

### 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
- Definition:Space of Continuous Functions of Differentiability Class k
- 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 Piecewise Linear Functions on Closed Interval is Dense in Space of Continuous Functions on Closed Interval
- Definition:Space of Real Polynomials
- Definition:Space of Real Polynomials of Degree n
- Definition:Space of Real-Valued Functions Continuous 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