# Category:Linear Transformations on Hilbert Spaces

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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 6 subcategories, out of 6 total.

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

The following 50 pages are in this category, out of 50 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