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An overview of some recent developments on the Invariant Subspace Problem

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Chalendar I., Partington J. R.

Concrete Operators

2013

tom 1

1-10

This paper presents an account of some recent approaches to the Invariant Subspace Problem. It contains a brief historical account of the problem, and some more detailed discussions of specific topics, namely, universal operators, the Bishop operators, and Read’s Banach space counter-example involving a finitely strictly singular operator.

Properties of derivations on some convolution algebras

100%

Pedersen T.

Open Mathematics

2014

tom 12

nr 5

742-751

For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.

Ograniczanie wyników

1 Concrete Operators

1 Open Mathematics

1 Chalendar I.

1 Partington J. R.

1 Pedersen T.

1 2014

1 2012

Wyniki wyszukiwania

An overview of some recent developments on the Invariant Subspace Problem

Properties of derivations on some convolution algebras