2002Studia MathematicaOpen access

Bounded and unbounded operators between Köthe spaces

Plamen Djakov, M. S. Ramanujan

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Abstract

We study in terms of corresponding Köthe matrices when every continuous linear operator between two Köthe spaces is bounded, the consequences of the existence of unbounded continuous linear operators, and related topics.

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We study in terms of corresponding Köthe matrices when every continuous linear operator between two Köthe spaces is bounded, the consequences of the existence of unbounded continuous linear operators, and related topics.

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Available abstract

We study in terms of corresponding Köthe matrices when every continuous linear operator between two Köthe spaces is bounded, the consequences of the existence of unbounded continuous linear operators, and related topics.

Key concepts: Mathematics, Bounded function, Bounded operator, Continuous linear operator, Unbounded operator, Linear operators, Finite-rank operator, Pure mathematics

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