# Category:Linear Transformations on Hilbert Spaces

Jump to navigation
Jump to search

This page contains results about linear transformations on Hilbert spaces.

Definitions specific to this category can be found in Definitions/Linear Transformations on Hilbert Spaces.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Linear Transformations on Hilbert Spaces"

The following 59 pages are in this category, out of 59 total.

### B

### C

- Characterization of Finite Rank Operators
- Characterization of Invariant Subspaces
- Characterization of Normal Operators
- Characterization of Projections
- Characterization of Reducing Subspaces
- Characterization of Unitary Operators
- Classification of Bounded Sesquilinear Forms
- Closure of Range of Compact Linear Transformation is Separable
- Compact Hermitian Operator has Countable Point Spectrum
- Compact Idempotent is of Finite Rank
- Compact Linear Transformation is Bounded
- Compact Linear Transformations Composed with Bounded Linear Operator
- Compact Operator on Hilbert Space Direct Sum
- Complementary Idempotent is Idempotent
- Complementary Idempotent of Complementary Idempotent is Idempotent
- Complementary Projection is Complementary Idempotent
- Complementary Projection is Projection
- Complementary Projection of Complementary Projection is Projection
- Condition for Nonzero Eigenvalue of Compact Operator
- Condition for Nonzero Eigenvalue of Compact Operator/Corollary
- Continuity of Linear Transformations

### D

### E

### K

### L

### O

### R

### S

- Space of Bounded Linear Transformations is Banach Space
- Space of Compact Linear Transformations is Banach Space
- Spectral Theorem for Compact Hermitian Operators
- Spectrum of Self-Adjoint Bounded Linear Operator is Real and Closed
- Sum of Bounded Linear Transformations is Bounded Linear Transformation
- Sum of Projections
- Sum of Projections/Binary Case
- Sum of Projections/General Case
- Surjection that Preserves Inner Product is Linear