Relevant bibliographies by topics / Strictly singular operators

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Academic literature on the topic 'Strictly singular operators'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Strictly singular operators"

1

Cobos, F., A. Manzano, A. Martínez, and P. Matos. "On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 130, no. 5 (2000): 971–89. http://dx.doi.org/10.1017/s0308210500000524.

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2

Cross, R. W. "Unbounded strictly singular operators." Indagationes Mathematicae (Proceedings) 91, no. 3 (1988): 245–48. http://dx.doi.org/10.1016/s1385-7258(88)80004-0.

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3

Kizgut, Ersin, and Murat Yurdakul. "Remarks on strictly singular operators." International Journal of Mathematical Analysis 11 (2017): 883–90. http://dx.doi.org/10.12988/ijma.2017.77103.

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4

Lindström, Mikael, Eero Saksman, and Hans-Olav Tylli. "Strictly Singular and Cosingular Multiplications." Canadian Journal of Mathematics 57, no. 6 (2005): 1249–78. http://dx.doi.org/10.4153/cjm-2005-050-7.

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AbstractLet L(X) be the space of bounded linear operators on the Banach space X. We study the strict singularity and cosingularity of the two-sidedmultiplication operators S ↦ ASB on L(X), where A, B ∈ L(X) are fixed bounded operators and X is a classical Banach space. Let 1 < p < ∞and p ≠ 2. Our main result establishes that the multiplication S ↦ ASB is strictly singular on L(Lp(0, 1)) if and only if the non-zero operators A, B ∈ L(Lp(0, 1)) are strictly singular. We also discuss the case where X is a L1- or a L∞-space, as well as several other relevant examples.
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Ganesa Moorthy, C., and C. T. Ramasamy. "Characterizations of Strong Strictly Singular Operators." Chinese Journal of Mathematics 2013 (December 25, 2013): 1–4. http://dx.doi.org/10.1155/2013/834637.

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A new class of operators called strong strictly singular operators on normed spaces is introduced. This class includes the class of precompact operators, and is contained in the class of strictly singular operators. Some properties and characterizations for these operators are derived.
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6

Flores, J., F. L. Hernandez, and P. Tradacete. "POWERS OF OPERATORS DOMINATED BY STRICTLY SINGULAR OPERATORS." Quarterly Journal of Mathematics 59, no. 3 (2007): 321–34. http://dx.doi.org/10.1093/qmath/ham050.

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7

Ji-Shou, Ruan. "Invariant Subspace of Strictly Singular Operators." Proceedings of the American Mathematical Society 108, no. 4 (1990): 931. http://dx.doi.org/10.2307/2047948.

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8

del Amo, A. García, F. L. Hernández, and C. Ruiz. "Disjointly strictly singular operators and interpolation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 5 (1996): 1011–26. http://dx.doi.org/10.1017/s0308210500023222.

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Interpolation properties of the class of disjointly strictly singular operators on Banach lattices are studied. We also give some applications to compare the lattice structure of two rearrangement invariant function spaces. In particular, we obtain suitable analytic characterisations of when the inclusion map between two Orlicz function spaces is disjointly strictly singular.
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9

Flores, Julio, and Francisco L. Hernández. "Domination by Positive Strictly Singular Operators." Journal of the London Mathematical Society 66, no. 2 (2002): 433–52. http://dx.doi.org/10.1112/s0024610702003447.

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10

Odell, Edward, and Ricardo V. Teixeira. "On S$_1$-strictly singular operators." Proceedings of the American Mathematical Society 143, no. 11 (2015): 4745–57. http://dx.doi.org/10.1090/proc/12452.

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