Peter Rosenthal
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Canadian mathematician and lawyer
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Law
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International Law
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Law Mathematics
Why Is Peter Rosenthal Influential?
(Suggest an Edit or Addition)According to Wikipedia, Peter Michael Rosenthal is Canadian-American Professor Emeritus of Mathematics at the University of Toronto, an adjunct professor of Law at the University of Toronto, and a lawyer in private practice.
Peter Rosenthal's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- How and Why to Solve the Operator Equation AX−XB = Y (1997) (270)
- An Introduction to Operators on the Hardy-Hilbert Space (2006) (169)
- Invertible Composition Operators on HP (1987) (80)
- The simplest proof of Burnside's theorem on matrix algebras (2004) (65)
- On isometries of normed linear spaces (1970) (56)
- On roots of normal operators (1971) (55)
- Boundary Values of Berezin Symbols (1994) (54)
- Solving Linear Operator Equations (1974) (50)
- On Invariant Subspaces and Reflexive Algebras (1969) (48)
- On Positive Linear Maps Preserving Invertibility (1984) (43)
- On Operator Algebras and Invariant Subspaces (1969) (41)
- Existence of Invariant and Hyperinvariant Subspaces (1973) (38)
- Are Almost Commuting Matrices Near Commuting Matrices (1969) (29)
- A nil algebra of bounded operators on Hilbert space with semisimple norm closure (1986) (29)
- An operator not satisfying Lomonosov's hypothesis (1980) (27)
- A Sufficient Condition that an Operator Algebra be Self-Adjoint (1971) (24)
- Most similarity orbits are strongly dense (1979) (21)
- From Local to Global Triangularization (1997) (21)
- A transitive medial subspace lattice (1971) (21)
- Triangularizing semigroups of quasinilpotent operators with non-negative entries (1993) (20)
- On the lengths of irreducible pairs of complex matrices (2011) (20)
- Burnside's Theorem on Algebras of Matrices (1980) (19)
- On Orbits of Linear Operators (1985) (19)
- On the decomposition of invariant subspaces (1967) (18)
- Limitations on the size of semigroups of matrices (2008) (18)
- Small transitive lattices (1983) (16)
- Matrices for Operators and Generators of B (ℋ) (1970) (16)
- The Remarkable Theorem of Levy and Steinitz (2007) (16)
- On invariant operator ranges (1979) (16)
- The Complex Numbers (2014) (16)
- Quadratic operators and invariant subspaces (1988) (15)
- Burnside's theorem for matrix rings over division rings (2004) (15)
- The remarkable theorem of Le´vy and Steinitz (1987) (14)
- On the congruence numerical range and related functions of matrices (1987) (13)
- FORMULAS FOR THE JOINT SPECTRAL RADIUS OF NON-COMMUTING BANACH ALGEBRA ELEMENTS (1995) (13)
- On transitive and reductive operator algebras (1974) (13)
- The invariant subspace problem (1982) (13)
- NORM INEQUALITIES FOR OPERATORS WITH POSITIVE REAL PART (2003) (12)
- A geometric equivalent of the invariant subspace problem (1976) (12)
- Completely reducible operators (1968) (12)
- On commutants of reductive operator algebras (1974) (12)
- Algebras containing unilateral shifts or finite-rank operators (1973) (11)
- The set of irreducible operators is dense (1969) (11)
- Spectral Bounds for Certain Two-Factor Non-Reversible MCMC Algorithms (2015) (11)
- An interpolation theorem and operator ranges (1987) (10)
- Operator algebras leaving compact operator ranges invariant. (1976) (9)
- On Commutators of Idempotents (2002) (9)
- A Glimpse at Hilbert Space Operators (2010) (9)
- On lattices of invariant subspaces (1967) (9)
- A NOTE ON UNICELLULAR OPERATORS (1968) (9)
- On two questions of Halmos concerning subspace lattices (1979) (9)
- Shorter Notes: The Set of Irreducible Operators is Dense (1969) (8)
- On operator algebras containing cyclic Boolean algebras. (1977) (8)
- ON AN INVERSION THEOREM FOR THE GENERAL MEHLER-FOCK TRANSFORM PAIR (1974) (8)
- Examples of invariant subspace lattices (1970) (7)
- Remarks on reductive operator algebras (1973) (7)
- A characterization of commutators of idempotents (2002) (7)
- On Operators with Reducing Invariant Subspaces (1975) (7)
- Some Tractable Non-Self-Adjoint Operator Algebras (1982) (7)
- Invariant subspaces and weakly closed algebras (1968) (7)
- Operator semigroups with quasinilpotent commutators (2000) (7)
- Generators of matrix incidence algebras (2000) (6)
- On Operator Algebras Containing Cyclic Boolean Algebras II (1977) (6)
- Idempotent completions of operator partial matrices (1999) (6)
- Shorter Notes: A Note on Unicellular Operators (1968) (5)
- Equivalents of the Invariant Subspace Problem (1991) (5)
- Certain Jordan operator algebras and double commutant theorems (1976) (5)
- Invariant Subspaces for Semigroups of Algebraic Operators (1998) (5)
- On reductive algebras containing compact operators (1975) (5)
- Weakly closed maximal triangular algebras are hyperreducible (1970) (5)
- On operator algebras and operator ranges (1986) (4)
- Some Recent Results on Invariant Subspaces (1976) (4)
- On the operator equation AX=XAX (1999) (3)
- A Survey of Chandler Davis (1994) (3)
- Inference for Annotated Logics over Distributive Lattices (2002) (3)
- Shorter Notes: Invariant Subspaces for Products of Hermitian Operators (1974) (3)
- Composition operators on the Newton space (2011) (3)
- Shorter Notes: Weakly Closed Maximal Triangular Algebras are Hyperreducible (1970) (3)
- Completion of operator partial matrices to square-zero contractions (1997) (2)
- Semigroups of Nonnegative Matrices (2000) (2)
- A Necessary and Sufficient Condition that an Operator be Normal (1968) (2)
- Book Review: Composition operators and classical function theory@@@Book Review: Composition operators on function spaces (1995) (2)
- A glimpse at Hilbert space operators : Paul R. Halmos in memoriam (2010) (2)
- Invariant subspaces for products of Hermitian operators (1974) (2)
- Simultaneous triangularizability, near commutativity and Rota’s theorem (1995) (2)
- Fermat’s Little Theorem and Wilson’s Theorem (2018) (1)
- Remarks on Invariant Subspace Lattices (1969) (1)
- On submultiplicativity of spectral radius and transitivity of semigroups (2006) (1)
- ON THE OPERATOR EQUATION AXB + CYD = Z (2007) (1)
- Inequalities for products of spectral radii (2001) (1)
- The Euclidean Algorithm and Applications (2014) (1)
- Search Strategies for Annotated Logics over Distributive Lattices (2002) (1)
- Corrections to: “On an inversion for the general Mehler-Fock transform pair” (1974) (1)
- Transitive Operator Algebras (1973) (1)
- On complementary matrix algebras (1990) (1)
- On fixed points of linear contractions (1985) (1)
- Paul Halmos and Invariant Subspaces (2010) (1)
- On the equations X=KXS and AX=XK (1982) (1)
- Some Not-quite-elementary Operators (2011) (0)
- Sizes of Infinite Sets (2014) (0)
- Algebras of Compact Operators (2000) (0)
- Publications of Paul R. Halmos (2010) (0)
- Sending and Receiving Secret Messages (2014) (0)
- Some Higher Dimensional Spaces (2018) (0)
- A Readable Introduction to Real Mathematics (2014) (0)
- Algebras Associated with Invariant Subspaces (1973) (0)
- Calculus and Analytic Geometry. By C. H. Edwards, Jr., and David E. Penney (1983) (0)
- Introduction and Preliminaries (1973) (0)
- Certain Results on von Neumann Algebras (1973) (0)
- A characterization of multiplication by the independent variable on $ℒ^{p}$ (1970) (0)
- Unbounded strongly irreducible operators and transitive representations of quivers on infinite-dimensional Hilbert spaces (2019) (0)
- Compact Operators and Invariant Subspaces (2000) (0)
- An Introduction to Infinite Series (2018) (0)
- Linear-algebraic results associated with antiferromagnetic Heisenberg chains (1993) (0)
- Introduction to the Natural Numbers (2014) (0)
- Semigroups of Matrices (2000) (0)
- Analytic Functions of Operators (1973) (0)
- Finiteness Lemmas and Further Spectral Conditions (2000) (0)
- 101 Careers in Mathematics: Peter Rosenthal (2014) (0)
- Local polynomials are polynomials (1995) (0)
- Semigroups of Compact Operators (2000) (0)
- Obituary: Paul Halmos, 1916–2006 (2010) (0)
- Algebras of Matrices (2000) (0)
- Rational Numbers and Irrational Numbers (2014) (0)
- Spectral Conditions on Semigroups (2000) (0)
- The Fundamental Theorem of Arithmetic (2014) (0)
- Some Unsolved Problems (1973) (0)
- Graphs with Isomorphic Subgraphs (1972) (0)
- A survey of Heydar Radjavi (2004) (0)
- General operator theory (1994) (0)
- Fundamentals of Euclidean Plane Geometry (2014) (0)
- Fermat’s Theorem and Wilson’s Theorem (2014) (0)
- A perturbation of Lomonosov's theorem (1982) (0)
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