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Strictly barrelled disks in inductive limits of quasi-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$(\rm LB)$"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>LB</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>-spaces
A strictly barrelled disk B in a Hausdorff locally convex space E is a disk such that the linear span of B with the topology of the Minkowski functional of B is a strictly barrelled space. Valdivia′s closed graph theorems are used to show that closed strictly barrelled disk in …