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On Banach ideals determined by Banach lattices and their applications

100%

Nielsen N. J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction.................................................................................................................................................. 5 Section 1. Notation basic fact and preliminary results....................................................................... 8 Section 2. Some results on Banach lattices......................................................................................... 12 Section 3. Ideals families of sets in a Banach space and Schwartz operator ideals................... 22 Section 4. Schwartz ideals determined by a Banach lattice.............................................................. 26 Section 5. Banach function lattices and the duality theorem of Schwartz..................................... 42 Section 6. Schwartz ideals determined by unconditional basic sequences in $L_p{0, 1)$........ 61 Section 7. Some concluding remarks and some open problems................................................... 68 References.................................................................................................................................................. 61

The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators

60%

Nielsen N. J.

Studia Mathematica

1982

tom 74

nr 3

247-272

Unsolved Problems

20%

Aronszajn N., Gross L., Kwapień S., Nielsen N. J., Pełczyński A., Pietsch A., Schwartz L., Saphar P., Chevet S., Dudley R., Garling D. J. H., Kalton N. J., Mitjagin B., Rolewicz S., Schock E., Daleckiĭ J., Dobrakov J., Gelbaum B., Henkin G., Nachbin L., Peck N. T., Waelbroeck L., Porcelli P., Rao M. M., Zerner M., Zakharjuta V.

Studia Mathematica

1970

tom 38

nr 1

467-483

1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483

Ograniczanie wyników

2 Studia Mathematica

3 Nielsen N. J.

1 Aronszajn N.

1 Chevet S.

1 Daleckiĭ J.

1 Dobrakov J.

1 Dudley R.

1 Garling D. J. H.

1 Gelbaum B.

1 Gross L.

1 Henkin G.

1 Kalton N. J.

1 Kwapień S.

1 Mitjagin B.

1 Nachbin L.

1 Peck N. T.

1 Pełczyński A.

1 Pietsch A.

1 Porcelli P.

1 Rao M. M.

1 Rolewicz S.

1 Saphar P.

1 Schock E.

1 Schwartz L.

1 Waelbroeck L.

1 Zakharjuta V.

1 Zerner M.

1 1982

1 1973

1 1970

Wyniki wyszukiwania

On Banach ideals determined by Banach lattices and their applications

The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators

Unsolved Problems