Unbounded linear transformations of upper semi-Fredholm type in normed spaces
Cross, R.W. (1990)
Portugaliae mathematica
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Cross, R.W. (1990)
Portugaliae mathematica
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D. van Dulst (1970)
Studia Mathematica
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Pietro Aiena, Manuel González (1998)
Studia Mathematica
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We give several characterizations of the improjective operators, introduced by Tarafdar, and we characterize the inessential operators among the improjective operators. It is an interesting problem whether both classes of operators coincide in general. A positive answer would provide, for example, an intrinsic characterization of the inessential operators. We give several equivalent formulations of this problem and we show that the inessential operators acting between certain pairs of...
Albrecht Pietsch (1974)
Studia Mathematica
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D. Van Dulst (1971)
Compositio Mathematica
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Pietro Aiena, Manuel González (1991)
Extracta Mathematicae
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We obtain several characterizations for the classes of Riesz and inessential operators, and apply them to extend the family of Banach spaces for which the essential incomparability class is known, solving partially a problem posed in [6].
Vladimir M. Kadets, Roman V. Shvidkoy, Dirk Werner (2001)
Studia Mathematica
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Let X be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on X which depend only on the norms of the images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).
V. Perenczi (1997)
Studia Mathematica
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A Banach space is said to be if the maximal number of subspaces of X forming a direct sum is finite and equal to n. We study some properties of spaces, and their links with hereditarily indecomposable spaces; in particular, we show that if X is complex , then dim , where S(X) denotes the space of strictly singular operators on X. It follows that if X is a real hereditarily indecomposable space, then ℒ(X)/S(X) is a division ring isomorphic either to ℝ, ℂ, or ℍ, the quaternionic...
Beucher, O. J.
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