Trace and determinant in Banach algebras

Bernard Aupetit; H. Mouton

Displaying similar documents to “Trace and determinant in Banach algebras”

M₂-rank differences for overpartitions

Jeremy Lovejoy, Robert Osburn (2010)

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A new rank formula for idempotent matrices with applications

Yong Ge Tian, George P. H. Styan (2002)

Commentationes Mathematicae Universitatis Carolinae

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It is shown that $rank (P^{*} A Q) = rank (P^{*} A) + rank (A Q) - rank (A),$ where $A$ is idempotent, $[P, Q]$ has full row rank and $P^{*} Q = 0$ . Some applications of the rank formula to generalized inverses of matrices are also presented.

Two conjectures regarding the stability of ω-categorical theories

A. Lachlan (1974)

Fundamenta Mathematicae

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Co-rank and Betti number of a group

Irina Gelbukh (2015)

Czechoslovak Mathematical Journal

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For a finitely generated group, we study the relations between its rank, the maximal rank of its free quotient, called co-rank (inner rank, cut number), and the maximal rank of its free abelian quotient, called the Betti number. We show that any combination of the group's rank, co-rank, and Betti number within obvious constraints is realized for some finitely presented group (for Betti number equal to rank, the group can be chosen torsion-free). In addition, we show that the Betti number...

Rank conditions for estimability of covariances

G. S. Rogers (1983)

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On rank one elements

Robin Harte (1995)

Studia Mathematica

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Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.

Spaces of rank-2 matrices over GF(2).

Beasley, LeRoy B. (1999)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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Singular properties of Morley rank

A. Lachlan (1980)

Fundamenta Mathematicae

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