Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Y.A. Abramovich"'
Publikováno v:
Positivity. 9:273-286
There is a subtle difference as far as the invariant subspace problem is concerned for operators acting on real Banach spaces and operators acting on complex Banach spaces. For instance, the classical hyperinvariant subspace theorem of Lomonosov [Fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3124ea458a0c8fdd7a29eee0e9629c8d
https://doi.org/10.1007/s11117-004-3786-9
https://doi.org/10.1007/s11117-004-3786-9
Autor:
Y.A. Abramovich, A. K. Kitover
Publikováno v:
Indagationes Mathematicae. 13(2):143-167
The following four main results are proved here. Theorem 3.3. For each one-to-one band preserving operator T:X → X on a vector lattice its inverse T−1:T(X) → X is also band preserving. This answers a long standing open question. The situation i
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74673d77c300d190595e11588918fb53
Publikováno v:
Positivity. 1:171-180
During the last few years the authors have studied extensively the invariant subspace problem of positive operators; see [6] for a survey of this investigation. In [4] the authors introduced the class of compact-friendly operators and proved for them
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3031afbd9f7170e950f9425a6b979f7e
https://doi.org/10.1023/a:1009781922898
https://doi.org/10.1023/a:1009781922898
Publikováno v:
Proceedings of the American Mathematical Society. 123:1773-1777
Recently we established several invariant subspace theorems for operators acting on an l p {l_p} -space. In this note we extend these results from operators acting on an l p {l_p} -space to operators acting on any Banach space with a (not necessarily
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https://doi.org/10.1090/s0002-9939-1995-1242069-9
https://doi.org/10.1090/s0002-9939-1995-1242069-9
Publikováno v:
Journal of Functional Analysis. 124(1):95-111
We establish new invariant subspace theorems for positive operators on Banach lattices. Here are three sample results. • If a quasinilpotent positive operator S dominates a non-zero compact operator K (i.e., | Kx | ≤ S | x | for each x ), then ev
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::231216a3c5c73f1c5b6fde17b18e9963
Autor:
Y.A. Abramovich, Anthony Wickstead
Publikováno v:
Journal of Mathematical Analysis and Applications. 180(2):398-411
We define and investigate two classes of unital Banach AM-spaces, the elements of which are the sums of continuous functions and discrete functions. Neither class is almost Dedekind σ-complete, although one has the Cantor property. One class has the
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Autor:
C. Aliprantis, Y.A. Abramovich
Publikováno v:
An Invitation to Operator Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ffe53ac0900f41e11bd0cdddcf8f132
https://doi.org/10.1090/gsm/050/03
https://doi.org/10.1090/gsm/050/03
This chapter discusses the theory of positive operators that is a distinguished and significant part of the field of general operator theory. The extra feature of this part of operator theory is the existence of an order on the spaces involved. The t
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https://explore.openaire.eu/search/publication?articleId=doi_________::37c826e69c5ddf871ab1287e63e014c8
https://doi.org/10.1016/s1874-5849(01)80004-8
https://doi.org/10.1016/s1874-5849(01)80004-8
Autor:
Y.A. Abramovich, Anthony Wickstead
Publikováno v:
Indiana University Mathematics Journal. 45
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fe1c622972b5ef5965d734171efe6e8
https://doi.org/10.1512/iumj.1996.45.1102
https://doi.org/10.1512/iumj.1996.45.1102
Autor:
Y.A. Abramovich, Anthony Wickstead
Publikováno v:
Hokkaido Mathematical Journal. 21
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed84527f0ccd50a7448d2a4376bc4734
https://doi.org/10.14492/hokmj/1381413722
https://doi.org/10.14492/hokmj/1381413722