Add to ORKGWe give a short proof of the Cauchy-Binet determinantal formula using multilinear algebra by first generalizing it to an identity {\em not} involving determinants. By extending the formula to abstract Hilbert spaces we obtain, as a corollary, a generalization of the classical Parseval identity
Suppose A ∈ L(Y ,Z ) , B ∈ L(X ,Y ) are Fredholm operators acting in linear spaces. By referring to ...
14 pagesTo each associative unitary finite-dimensional algebra over a normal base, we associative a ...
AbstractWe present a novel approach to obtaining the basic facts (including Lidskii's theorem on the...
The classic Cayley identity states that where is an matrix of indeterminates and is the correspo...
AbstractWe give a combinatorial proof of Muir's identity between permanents and determinants and of ...
We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy-Bi...
AbstractIt is well known that the Sylvester matrix equation AX+XB=C has a unique solution X if and o...
We give a new combinatorial explanation for well-known relations between determinants and traces of ...
AbstractIn a first theorem it is shown that a multiindexed matrix M = (Mσ,τ) is nonsingular where Mσ...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
Abstract. The pseudo-determinant Det(A) of a square matrix A is defined as the product of the nonzer...
In a first theorem it is shown that a multiindexed matrix M = (Mσ,τ) is nonsingular where Mσ,τ is a ...
AbstractFor vector spaces over certain algebraic fields, homogeneous functionals which are derivable...
AbstractBinomial convolution identities of the Hagen-Rothe type with even and odd summation indices ...
AbstractWe present some recent applications of multilinear algebra on combinatorics and additive the...
Suppose A ∈ L(Y ,Z ) , B ∈ L(X ,Y ) are Fredholm operators acting in linear spaces. By referring to ...
14 pagesTo each associative unitary finite-dimensional algebra over a normal base, we associative a ...
AbstractWe present a novel approach to obtaining the basic facts (including Lidskii's theorem on the...
The classic Cayley identity states that where is an matrix of indeterminates and is the correspo...
AbstractWe give a combinatorial proof of Muir's identity between permanents and determinants and of ...
We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy-Bi...
AbstractIt is well known that the Sylvester matrix equation AX+XB=C has a unique solution X if and o...
We give a new combinatorial explanation for well-known relations between determinants and traces of ...
AbstractIn a first theorem it is shown that a multiindexed matrix M = (Mσ,τ) is nonsingular where Mσ...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
Abstract. The pseudo-determinant Det(A) of a square matrix A is defined as the product of the nonzer...
In a first theorem it is shown that a multiindexed matrix M = (Mσ,τ) is nonsingular where Mσ,τ is a ...
AbstractFor vector spaces over certain algebraic fields, homogeneous functionals which are derivable...
AbstractBinomial convolution identities of the Hagen-Rothe type with even and odd summation indices ...
AbstractWe present some recent applications of multilinear algebra on combinatorics and additive the...
Suppose A ∈ L(Y ,Z ) , B ∈ L(X ,Y ) are Fredholm operators acting in linear spaces. By referring to ...
14 pagesTo each associative unitary finite-dimensional algebra over a normal base, we associative a ...
AbstractWe present a novel approach to obtaining the basic facts (including Lidskii's theorem on the...