AbstractGiven n∈N, let X be either the set of hermitian or real n×n matrices of rank at least n-1. If n is even, we give a sharp estimate on the maximal dimension of a real vector space V⊂X∪{0}. The results are obtained, via K-theory, by studying a bundle map induced by the adjunction of matrices
AbstractWe obtain bounds on the dimension of a linear space S of nilpotent n×n matrices over an arbi...
AbstractLet In denote the space of all n×n symmetric matrices over a field F. Let t be a positive in...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractIn this paper we investigate the maximal dimension for k-spaces of real matrices for small v...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractWe calculate the maximal dimension of linear spaces of symmetric and hermitian matrices with...
AbstractThe largest possible dimensions of linear spaces of real n×n matrices of constant rank n−1 (...
AbstractWhen min{m, n} = k + 1, the exact value of l(k, m, n), the maximum dimension of all possible...
AbstractLet L(Cn,Cm) be the space from Cn to Cm. Let ℓ(k, n, m) be the maximal dimension of a linear...
Let Mn(R) and Sn(R) be the spaces of n × n real matri-ces and real symmetric matrices respectively. ...
Let Mn(R) and Sn(R) be the spaces of n × n real matri-ces and real symmetric matrices respectively. ...
AbstractIn this paper we investigate the maximal dimension for k-spaces of real matrices for small v...
AbstractLet V be a linear space of n × n complex matrices with the property that the cardinality of ...
We consider the problem of determining l(r,a) , the maximal dimension of a subspace of axa matrices ...
AbstractLet In denote the space of all n×n symmetric matrices over a field F. Let t be a positive in...
AbstractWe obtain bounds on the dimension of a linear space S of nilpotent n×n matrices over an arbi...
AbstractLet In denote the space of all n×n symmetric matrices over a field F. Let t be a positive in...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractIn this paper we investigate the maximal dimension for k-spaces of real matrices for small v...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
AbstractWe calculate the maximal dimension of linear spaces of symmetric and hermitian matrices with...
AbstractThe largest possible dimensions of linear spaces of real n×n matrices of constant rank n−1 (...
AbstractWhen min{m, n} = k + 1, the exact value of l(k, m, n), the maximum dimension of all possible...
AbstractLet L(Cn,Cm) be the space from Cn to Cm. Let ℓ(k, n, m) be the maximal dimension of a linear...
Let Mn(R) and Sn(R) be the spaces of n × n real matri-ces and real symmetric matrices respectively. ...
Let Mn(R) and Sn(R) be the spaces of n × n real matri-ces and real symmetric matrices respectively. ...
AbstractIn this paper we investigate the maximal dimension for k-spaces of real matrices for small v...
AbstractLet V be a linear space of n × n complex matrices with the property that the cardinality of ...
We consider the problem of determining l(r,a) , the maximal dimension of a subspace of axa matrices ...
AbstractLet In denote the space of all n×n symmetric matrices over a field F. Let t be a positive in...
AbstractWe obtain bounds on the dimension of a linear space S of nilpotent n×n matrices over an arbi...
AbstractLet In denote the space of all n×n symmetric matrices over a field F. Let t be a positive in...
AbstractLet K be a field and let Mm×n(K) denote the space of m×n matrices over K. We investigate pro...
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