Results 281 to 290 of about 455,811 (328)

Finite rank perturbations of contractions

Integral Equations and Operator Theory, 2000
Let \(T\) be a contraction on an infinite-dimensional complex Hilbert space with finite-dimensional defect spaces \(D_T\) and \(D_{T^*}\). Assume that \(T^{*n}x\to 0\) for any \(x\in H\). \(T\) is then said to be of class \(C_0\). The author studies finite rank perturbations of contractions of class \(C_0\).
Benhida, Chafiq, Timotin, Dan
openaire   +2 more sources

Elementary Properties of the Finite Ranks

Mathematical Logic Quarterly, 1998
AbstractThis note investigates the class of finite initial segments of the cumulative hierarchy of pure sets. We show that this class is first‐order definable over the class of finite directed graphs and that this class admits a first‐order definable global linear order. We apply this last result to show that FO(<, BIT) = FO(BIT).
Dawar, Anuj   +3 more
openaire   +4 more sources

Residually finite groups of finite rank

Mathematical Proceedings of the Cambridge Philosophical Society, 1989
The recent constructions, by Rips and Olshanskii, of infinite groups with all proper subgroups of prime order, and similar ‘monsters’, show that even under the imposition of apparently very strong finiteness conditions, the structure of infinite groups can be rather weird.
Lubotzky, Alexander, Mann, Avinoam
openaire   +1 more source

Groups with Finitely Many Homomorphic Images of Finite Rank

Algebra Colloquium, 2016
A group is called a Černikov group if it is abelian-by-finite and satisfies the minimal condition on subgroups. A new characterization of Černikov groups is given here, by proving that in a suitable large class of generalised soluble groups they coincide with the groups having only finitely many homomorphic images of finite rank (up to isomorphisms ...
de Giovanni F., Russo A.
openaire   +3 more sources

Finite Rank Operators

2000
This chapter is of a preliminary character. Here we accumulate results about the traces of finite rank operators as well as the determinants of operators of the form I + F, where F is an operator of finite rank Also, various formulas of trace and determinant are presented for operators of the form mentioned above.
Israel Gohberg   +2 more
openaire   +1 more source

Commutative cancellative semigroups of finite rank

Periodica Mathematica Hungarica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cegarra, Antonio M., Petrich, Mario
openaire   +1 more source

SPACES WITH BASES OF FINITE RANK

Mathematics of the USSR-Sbornik, 1972
In this article we investigate spaces having bases of finite rank and finite big rank. Bibliography: 12 items.
Arkhangel'skij, A. V., Filippov, V. V.
openaire   +1 more source

Groups of finite rank

1964
We use the following notation and terminology. All groups are written additively. A group is said to be periodic if all its elements are of finite order. As usual, Z stands for the additive group of the integers. The kernel (image) of a homomorphism f is denoted by Ker f (Im f). If H is a normal subgroup of G we write H ⊲ G.
M. Arkowitz, C. R. Curjel
openaire   +1 more source

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