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 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