Wyniki wyszukiwania

1

Pointwise multiplication operators on weighted Banach spaces of analytic functions

100%

Bonet J., Domański P., Lindström M.

Studia Mathematica

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1999

|

tom 137

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nr 2

177-194

EN

For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.

2

Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

100%

Bonet J., Braun R. W., Meise R., Taylor B. A.

Studia Mathematica

|

1991

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tom 99

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nr 2

155-184

3

Coincidence of topologies on tensor products of Köthe echelon spaces

100%

Bonet J., Defant A., Peris A., Ramanujan M. S.

Studia Mathematica

|

1994

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tom 111

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nr 3

263-281

EN

We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Köthe echelon or coechelon spaces. A major tool in the proof is the characterization of the επ-continuity of the tensor product of two diagonal operators from $l_p$ to $l_q$. Several sharp forms of this result are also included.

Ograniczanie wyników

3 Studia Mathematica

3 Bonet J.

1 Braun R. W.

1 Defant A.

1 Domański P.

1 Lindström M.

1 Meise R.

1 Peris A.

1 Ramanujan M. S.

1 Taylor B. A.

1 1999

1 1994

1 1991

Pointwise multiplication operators on weighted Banach spaces of analytic functions

Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

Coincidence of topologies on tensor products of Köthe echelon spaces