Decomposition of Families of Unbounded Operators
H. J. Borchers (1975)
Recherche Coopérative sur Programme n°25
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H. J. Borchers (1975)
Recherche Coopérative sur Programme n°25
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Peng Fan (1984/85)
Mathematische Zeitschrift
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Klaus-Jürgen Eckardt (1973/74)
Manuscripta mathematica
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
B. Stanković (1982)
Publications de l'Institut Mathématique
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Sameer Chavan (2008)
Studia Mathematica
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We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.
Tohru Ozawa (1991)
Mathematische Zeitschrift
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T. Kato (1965/66)
Mathematische Annalen
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S. Hassi, H. S. V. de Snoo, F. H. Szafraniec
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Let A be a, not necessarily closed, linear relation in a Hilbert space ℌ with a multivalued part mul A. An operator B in ℌ with ran B ⊥ mul A** is said to be an operator part of A when A = B +̂ ({0} × mul A), where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for an operator part are established...
Lakomá, Lenka, Mikes̆, Josef (1997)
General Mathematics
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Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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M. R. Dostanić (1989)
Matematički Vesnik
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T. Iwiński
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CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations..................................................................................................
Kaya, D. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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D. W. Solomon (1971)
Colloquium Mathematicae
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C. H. Wilcox (1970-1971)
Séminaire Équations aux dérivées partielles (Polytechnique)
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