In this work it is introduced the notion of regular Fredholm pair, i.e. a Fredholm pair whose operators are regular. The main properties of these objects are studied, and what is more, they are entirely classified. ...

A pair (P,Q) of orthogonal projections in a Hilbert space H is called a Fredholm pair if QP:R(P)→R(Q)is a Fredholm operator. Let F be the set of all Fredholm pairs. A pair is called compact if P−Q is compact. Let C be the ...

We consider a continuous path of bounded symmetric Fredholm bilinear forms with arbitrary endpoints on a real Hilbert space, and we prove a formula that gives the spectral flow of the path in terms of the spectral flow of ...

Se dan condiciones para que un operador no lineal de un espacio de Banach reflexivo en su dual satisfaga la alternativa de Fredholm. Se usa luego el resultado para responder a una pregunta en Geometría Algebraica

En este trabajo examinamos los C*-algebras de operadores Toeplitz sobre la bola unitaria en Cn y en el polidisco unitario en C². Los operadores Toeplitz son ejemplos interesantes de operadores que no son operadores normales ...