Lucas Jódar (1983)
Stochastica
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In this paper a class of injective unilateral weighted shift operators is introduced which contains strictly the class of the strictly cyclic operators and which can only be unicellular if they are quasinilpotent.
Lucas Jodar (1986)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Lucas Jódar (1984)
Stochastica
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We study the relation between the sets of cyclic vectors of an unilateral bounded below weighted shift operator T and T where S is an invariant subspace of T. It is proved that T can not be unicellular and known results are generalized.
Lucas Jódar (1985)
Stochastica
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In the present paper we prove that a strictly cyclic, not invertible unicellular operator is quasinilpotent.
Lucas Jódar (1983)
Stochastica
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In this paper the analytic-spectral structure of the commutant of an invertible bilateral weighted shift operator is studied, extending known results. A class of operators is introduced, more general than the class of the rationally strictly cyclic bilateral shift [operators] which are not unicellular.
Lucas Jódar (1985)
Stochastica
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Estudiamos la existencia de subespacios hiperinvariantes de operadores desplazamiento bilateral ponderados e invertibles definidos sobre un espacio de Hilbert con base ortogonal {e}, n perteneciendo a Z, por la expresión T e = w e, donde las sucesiones {w} y {w}, con n = 1, ..., ∞, son convergentes.
Lucas Jódar (1986)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Chacón, Gerardo R., Giménez, José, Rojas, Edixon (2005)
Boletín de la Asociación Matemática Venezolana
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Teresa Bermúdez, Manuel González (1998)
Extracta Mathematicae
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Pedro J. Burillo López (1976)
Collectanea Mathematica
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Vicente Hernández, Lucas Jódar (1983)
Stochastica
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By means of the application of annihilating entire functions of an operator, the bilateral quadratic equation in operators A + BT +TC + TDT = 0, is changed into an unilateral linear equation, obtaining conditions under which the solutions of such linear equation satisfy the quadratic equation.