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| Other names: |
completely continuous |
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Cross-references: continuous function, converse, Hilbert spaces, finite rank, sequence, limit, norm, two-sided ideal, closed, bounded operator, closure, compact, unit ball, maps, linear operator, operator, Banach spaces
There are 11 references to this entry.
This is version 5 of compact operator, born on 2004-06-26, modified 2008-06-29.
Object id is 5966, canonical name is CompactOperator.
Accessed 5850 times total.
Classification:
| AMS MSC: | 46B99 (Functional analysis :: Normed linear spaces and Banach spaces; Banach lattices :: Miscellaneous) |
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Pending Errata and Addenda
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![$ x,y \in [0,1]$](http://images.planetmath.org:8080/cache/objects/5966/l2h/img11.png "$ x,y \in [0,1]$"){kind=small}
![$\displaystyle (T\psi)(x) = \int_0^1 k(x,y) \psi(y) \,\d y, \qquad \psi \in C([0,1])$](http://images.planetmath.org:8080/cache/objects/5966/l2h/img12.png "$\displaystyle (T\psi)(x) = \int_0^1 k(x,y) \psi(y) \,\d y, \qquad \psi \in C([0,1])$")