Category:Definitions/Compact Linear Operators

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Compact Linear Operators.
Related results can be found in Category:Compact Linear Operators.


Normed Vector Space

Let $\struct {X, \norm \cdot}$ be a normed vector space.

Let $T : X \to X$ be a compact linear transformation.


We say that $T$ is a compact linear operator.


Inner Product Space

Let $\struct {X, \innerprod \cdot \cdot}$ be an inner product space.

Let $T : X \to X$ be a compact linear transformation.


We say that $T$ is a compact linear operator.