Ten problems in Hilbert space
Data up to Jan 2025
Total Citations Per Year
Abstract
References (55)
A Hilbert Space Problem Book
1982 • 2,471 citations
A HILBERT SPACE PROBLEM BOOK
1968 • 547 citations
Theory of generalized spectral operators
1968 • 528 citations
Algebraic Properties of Toeplitz operators.
1964 • 506 citations
Seminar on the Atiyah-Singer Index Theorem.
1968 • 487 citations
Über beschränkte quadratische formen, deren differenz vollstetig ist
1909 • 244 citations
A survey of the theory of spectral operators
1958 • 237 citations
Normal Dilations and Extensions of Operators
1983 • 234 citations
Invariant subspaces and unstarred operator algebras
1966 • 220 citations
Invariant Subspaces of Completely Continuous Operators
1954 • 219 citations
Unitary dilations for commuting contractions
1970 • 211 citations
On Some Algebras of Operators. II
1966 • 174 citations
Which weighted shifts are subnormal
1966 • 150 citations
Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
1960 • 109 citations
Algebraic Properties of Toeplitz operators
1983 • 108 citations
Commuting spectral measures on Hilbert space
1954 • 107 citations
The Invariant Subspace Lattice of a Linear Transformation
1967 • 100 citations
A counterexample to a problem of Sz.-Nagy
1964 • 93 citations
A density theorem for operator algebras
1967 • 84 citations
Irreducible operators.
1968 • 62 citations
Approximate point spectrum of a weighted shift
1970 • 59 citations
Strong continuity of operator functions
1968 • 59 citations
A note on quasitriangular operators
1970 • 57 citations
Spectral theory for operators on a Banach space
1957 • 55 citations
On Similarity, Reducing Manifolds, and Unitary Equivalence of Certain Volterra Operators
1957 • 54 citations
On Invariant Subspaces and Reflexive Algebras
1969 • 50 citations
Quasitriangular operators
1983 • 47 citations
INVARIANT SUBSPACES OF WEIGHTED SHIFT OPERATORS
1967 • 46 citations
Operators commuting with a weighted shift
1969 • 44 citations
On Foguel’s answer to Nagy’s question
1964 • 41 citations
A power-bounded operator that is not polynomially bounded.
1968 • 38 citations
Subdiagonalization of operators in Hilbert space with compact imaginary part
1962 • 37 citations
Cyclic vectors and parts of the spectrum of a weighted shift
1969 • 33 citations
Weighted shifts on Hilbert space
1966 • 23 citations
On Invariant Subspaces of Quasitriangular Operators
1969 • 23 citations
Spectral Theory for Operators on a Banach Space
1957 • 19 citations
Weighted Translation Operators.
1965 • 17 citations
Approximate Point Spectrum of a Weighted Shift
1970 • 16 citations
Distinguished rings of linear transformations
1964 • 16 citations
The set of irreducible operators is dense
1969 • 15 citations
A note on invariant subspaces
1969 • 15 citations
A note on invariant subspaces.
1970 • 13 citations
Cyclic Vectors and Parts of the Spectrum of a Weighted Shift
1969 • 12 citations
On lattices of invariant subspaces
1967 • 12 citations
Sums of irreducible operators
1969 • 8 citations
Eine Bemerkung zur Existenz invarianter Teilr�ume linearer Abbildungen
1963 • 8 citations
Shorter Notes: The Set of Irreducible Operators is Dense
1969 • 7 citations
On the Triangular Representation of Integral Operators
1962 • 6 citations
On the irreducibility of weighted shifts
1969 • 5 citations
Every operator is the sum of two irreducible ones
1969 • 5 citations
Sums of Irreducible Operators
1969 • 4 citations
Distinguished Rings of Linear Transformations
1964 • 4 citations
On the Irreducibility of Weighted Shifts
1969 • 4 citations
Shorter Notes: Every Operator is the Sum of Two Irreducible Ones
1969 • 3 citations
Deleted Work
1955 • 0 citations