William B. Johnson
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William B. Johnsonmathematics Degrees
Mathematics
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Functional Analysis
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Measure Theory
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Mathematics
Why Is William B. Johnson Influential?
(Suggest an Edit or Addition)William B. Johnson'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
- Extensions of Lipschitz mappings into Hilbert space (1984) (2736)
- Handbook of geometry of Banach spaces (2001) (679)
- Factoring weakly compact operators (1974) (421)
- Symmetric Structures in Banach Spaces (1979) (262)
- On bases, finite dimensional decompositions and weaker structures in Banach spaces (1971) (256)
- On Tsirelson’s space (1984) (246)
- Basic Concepts in the Geometry of Banach Spaces (2001) (240)
- A uniformly convex Banach space which contains no cp (1974) (218)
- On ω*-basic sequences and their applications to the study of Banach spaces (1972) (180)
- Extensions of lipschitz maps into Banach spaces (1986) (168)
- Best Constants in Moment Inequalities for Linear Combinations of Independent and Exchangeable Random Variables (1985) (164)
- On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces (1975) (134)
- Some remarks on weakly compactly generated banach spaces (1974) (125)
- Sums of Independent Random Variables in Rearrangement Invariant Function Spaces (1989) (112)
- Affine Approximation of Lipschitz Functions and Nonlinear Quotients (1999) (108)
- Factoring compact operators (1971) (99)
- Almost Fréchet Differentiability of Lipschitz Mappings Between Infinite‐Dimensional Banach Spaces (2002) (88)
- A complementary universal conjugate Banach space and its relation to the approximation problem (1972) (88)
- Lipschitz $p$-summing operators (2009) (80)
- Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities (1997) (80)
- l~p (p > 2) does not coarsely embed into a Hilbert space (2004) (80)
- On Banach spaces whose dual balls are not weak∗ sequentially compact (1977) (79)
- The approximation property does not imply the bounded approximation property (1973) (78)
- Eigenvalues of p-summing and lp-type operators in Banach spaces (1979) (76)
- On uncomplemented subspaces ofLp, 1 (1977) (72)
- On subspaces of quotients of (ΣGn)lp and (ΣGn)co (1972) (68)
- Subspaces of $L_p$ which embed into $l_p$ (1974) (68)
- Martingale inequalities in rearrangement invariant function spaces (1988) (63)
- DIAMOND GRAPHS AND SUPER-REFLEXIVITY (2009) (58)
- Separable lifting property and extensions of local reflexivity (2001) (51)
- Polynomial Schur and Polynomial Dunford-Pettis Properties (1992) (51)
- A reflexive Banach space which is not sufficiently Euclidean (1976) (50)
- The optimality of James’s distortion theorems (1997) (48)
- Some approximation properties of Banach spaces and Banach lattices (2011) (47)
- Large subspaces ofl∞n and estimates of the gordon-lewis constantand estimates of the gordon-lewis constant (1980) (44)
- Banach spaces all of whose subspaces have the approximation property (1980) (43)
- The Johnson–Lindenstrauss Lemma Almost Characterizes Hilbert Space, But Not Quite (2008) (41)
- On quotients of $L_p$ which are quotients of $\ell _p$ (1977) (39)
- On finite dimensional subspaces of Banach spaces with local unconditional structure (1974) (38)
- Chapter 19 Finite dimensional subspaces of L p (2001) (37)
- Factoring operators through Banach lattices not containingC(0,1) (1987) (33)
- Analytic disks in fibers over the unit ball of a Banach space. (1991) (33)
- Subspaces and quotient spaces of $$(\Sigma G_n )_{l_p } $$ and $$(\Sigma G_n )_{c_0 } $$ (1974) (32)
- On the structure of non-weakly compact operators on Banach lattices (1981) (32)
- On the existence of fundamental and total founded biorthogonal systems in Banach spaces (1973) (31)
- Commutators on ℓ∞ (2008) (30)
- A renorming of nonreflexive Banach spaces (1973) (29)
- ON THE EXISTENCE OF STRONGLY SERIES SUMMABLE MARKUSCHEVICH BASES IN BANACH SPACES (1971) (29)
- Lipschitz Quotients from Metric Trees and from Banach Spaces Containing ℓ1 (2002) (27)
- A characterization of subspaces of _{} for which () is an -ideal in () (1985) (27)
- Extensions of c0 (1997) (25)
- A characterization of subspaces and quotients of reflexive banach spaces with unconditional bases (2007) (24)
- On lipschitz embedding of finite metric spaces in low dimensional normed spaces (1987) (24)
- Operators into Lp which Factor Through lp (1976) (24)
- Review: Joram Lindenstrauss and Lior Tzafriri, Classical Banach spaces I (1979) (24)
- Factorizations of natural embeddings of $l^{n}_{p}$ into $L_{r}$, I (1988) (23)
- Compact, non-nuclear operators (1974) (23)
- On the relation between several notions of unconditional structure (1980) (23)
- Uniform quotient mappings of the plane. (2000) (23)
- Basic sequences and norming subspaces in non-quasi-reflexive Banach spaces (1973) (22)
- A summary and synthesis of procedural regulations and standards—Informing a procedures writer's guide (2016) (22)
- Extension of operators from weak*-closed sub-spaces of $l_1$ into C(K) spaces (1996) (21)
- The “Full Müntz Theorem” inLp[0, 1] for 0 (2001) (20)
- The diameter of the isomorphism class of a Banach space (2003) (19)
- Very tight embeddings of subspaces of Lp, 1 ≤ p < 2, into lpn (2003) (19)
- Extension of Operators from Subspaces of c 0 (Γ) into C(K) Spaces (1989) (18)
- ON QUASI-COMPLEMENTS (1973) (18)
- COUNTEREXAMPLES TO SEVERAL PROBLEMS ON THE FACTORIZATION OF BOUNDED LINEAR OPERATORS (1984) (18)
- Hereditary approximation property (2012) (17)
- A universal non-compact operator (1971) (16)
- Multiplication operators on L(L_p) and $\ell_p$-strictly singular operators (2007) (16)
- Commutators on _{}, 1≤<∞ (2012) (16)
- Extension of operators from subspaces of ₀(Γ) into () spaces (1989) (16)
- Universal non-completely-continuous operators (1995) (16)
- Markuschevich bases and duality theory (1970) (16)
- Non‐linear factorization of linear operators (2009) (15)
- On the local structure of subspaces of Banach lattices (1975) (15)
- Multiplication operators onL.Lp/ and 'p-strictly singular operators (2008) (15)
- Commutators on $L_{p}$, $1?p (2013) (14)
- An example of an asymptotically Hilbertian space which fails the approximation property (2000) (14)
- The cluster value problem in spaces of continuous functions (2012) (14)
- No infinite dimensional $P$ space admits a Markuschevich basis (1970) (14)
- Computingp-summing norms with few vectors (1992) (12)
- Complementably universal Banach spaces (1976) (12)
- Every L p Operator is an L 2 Operator (1978) (12)
- Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support (2015) (12)
- The Proportional Uap Characterizes Weak Hilbert Spaces (1990) (12)
- COMMUTATORS ON (Σ `q)p (2011) (11)
- Commutators on (Σlq)p (2011) (11)
- Weakly null sequences in (2006) (10)
- Finite-dimensional Schauder decompositions in $\pi_{\lambda}$ and dual $\pi_{\lambda}$ spaces (1970) (10)
- Correction to “Some remarks on weakly compactly generated Banach spaces” (1979) (9)
- Yet another proof of Sobczyk's theorem (2006) (9)
- Representing completely continuous operators through weakly ∞‐compact operators (2016) (9)
- Factorizations of natural embeddings of $l^n_p$ into $L_r$. II. (1991) (9)
- Operators into $L_p$ which factor through $l_p$ (1980) (8)
- COMPLEMENTABLY UNIVERSAL BANACH SPACES, II (2009) (8)
- Subspaces and quotients of Banach spaces with shrinking unconditional bases (2011) (8)
- The number of closed ideals in $L(L_p)$ (2020) (7)
- A SCHAUDER BASIS FOR L 1 (0 , ∞ ) CONSISTING OF NON-NEGATIVE FUNCTIONS (2014) (7)
- Ideals in $$L(L_1)$$ (2018) (7)
- Weak convergence of vector valued martingales (1990) (7)
- Homogeneous Banach spaces (1988) (7)
- Geometry of Banach spaces and biorthogonal systems (1999) (7)
- On Mean Ergodic Convergence in the Calkin Algebras (2013) (6)
- A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions (2015) (6)
- Covering a compact set in a Banach space by an operator range of a Banach space with basis (2005) (6)
- The Lidskii trace property and the nest approximation property in Banach spaces (2016) (6)
- Commutators on Lp, 1 ≤ p < ∞ † (2012) (6)
- Stochastic approximation properties in Banach spaces (2003) (5)
- Banach spaces with the 2-summing property (1994) (5)
- The cluster value problem for Banach spaces (2013) (4)
- The trace formula in Banach spaces (2014) (4)
- Random Sign Embeddings From l n r , 2 < r < ∞ (1988) (4)
- Extensions of $c_0$ (1996) (4)
- The Dual Form of the Approximation Property for a Banach Space and a Subspace (2015) (4)
- Extension of Operators from Weak (1995) (4)
- Subspaces of Lp that embed into Lp(µ) with µ finite (2014) (4)
- Projections onto L1 subspaces of L1(μ) (1983) (4)
- A quantitative version of the commutator theorem for zero trace matrices (2012) (3)
- Some Properties of Spaces of Uniformly Quasi-Continuous Functions (1969) (3)
- Weakly convergent sequences of Banach space valued random variables (1977) (3)
- Extension of Operators from Weak$^*$-closed Subspaces of $\ell_1$ (1994) (3)
- On the distance of subspaces of ⁿ_{} to ^{}_{} (1991) (3)
- Book Review: Metric embeddings: bilipschitz and coarse embedddings into Banach spaces (2016) (3)
- Commutators on $L_p$, $1\le p<\infty$ (2011) (2)
- The Complete Continuity Property and Finite Dimensional Decompositions (1993) (2)
- Embedding Banach spaces into the space of bounded functions with countable support (2018) (2)
- The SHAI property for the operators on L^p (2021) (2)
- Every _{} operator is an ₂ operator (1978) (2)
- Random sign embeddings from ⁿᵣ,2<<∞ (1988) (2)
- Factorizations of natural embeddings of l_p^n int L_r (1992) (2)
- Factorizations of natural embeddings of l n p into Lr, II by (1992) (2)
- Khinchin inequality and Banach – Saks type properties in rearrangement-invariant spaces (2009) (2)
- On complemented versions of James's distortion theorems (2007) (1)
- On the Distance of Subspaces of l p n to l p k (1991) (1)
- On Continuous Images of Cantor Spaces (1968) (1)
- On operators from separable reflexive spaces with asymptotic structure (2008) (1)
- Power Type Uniform Convexity of via P-asymptotic Uniform Convexity of L R () (2007) (1)
- Every $L\sb{p}$ operator is an $L\sb{2}$ operator (1978) (1)
- Isomorphisms generated by fundamental and total sets (1969) (1)
- Nonlinear quotients (1997) (1)
- Operators which factor through Banach lattices not containing c0 (1990) (1)
- Commutators on L p , 1 p <1 y (2011) (1)
- Finite-dimensional Schauder decompositions in certain Frechet spaces (1971) (1)
- Methods in Banach Space Theory: Picture: closing at the main lecture room (2006) (0)
- N ov 2 01 2 The cluster value problem in spaces of continuous functions . ∗ † (0)
- Commutators on Lp, 1p<1 y (2011) (0)
- BANACH-SAKS TYPE PROPERTIES IN REARRANGEMENT-INVARIANT SPACES WITH THE (2009) (0)
- Methods in Banach Space Theory: Preface (2006) (0)
- SOME 20+ YEAR OLD PROBLEMS ABOUT BANACH SPACES AND OPERATORS ON THEM (2019) (0)
- SOME PROPERTIES OF NONCOMMUTATIVE Hl SPACES (2010) (0)
- The trace formula in Banach spaces (2014) (0)
- IMPROVEMENTS OF SOME OPERATOR INEQUALITIES INVOLVING POSITIVE LINEAR MAPS VIA THE KANTOROVICH CONSTANT (2019) (0)
- Commutators on (Sigma l(q))(p) (2011) (0)
- Complemented subspaces of $L_p$ which embed into $\ell _p \otimes \ell _2$ (1980) (0)
- Subspaces of Lp that embed into Lp(µ) with µ finite (2014) (0)
- Quotients of Essentially Euclidean Spaces (2017) (0)
- Commutators on $\ell_{\infty}$ (2009) (0)
- Methods in Banach Space Theory: Picture: some like it fun (2006) (0)
- Methods in Banach Space Theory: Frontmatter (2006) (0)
- Several Remarks Concerning the Local Theory of L p Spaces (2004) (0)
- D ec 1 99 4 Extension of Operators from Weak ∗-closed Subspaces of l 1 into C ( K ) Spaces (2021) (0)
- Injective Tauberian operators on $L_1$ and operators with dense range on $\ell_\infty$ (2014) (0)
- Subspaces of $L_p$ that embed into $L_p(\mu)$ with $\mu$ finite (2013) (0)
- Operator and dual operator bases in linear topological spaces (1972) (0)
- Fibers over the U nit Ball of a Banach Space (2021) (0)
- N ov 2 01 9 Ideals in L ( L 1 ) ∗ (2019) (0)
- Joran Lindenstrauss, in Memoriam (2015) (0)
- First Brazilian Workshop in Geometry of Banach Spaces (2014) (0)
- Corrigendum to “Commutators on $(\sum\ell _q)_p$” (Studia Math. 206 (2011), 175–190) (2014) (0)
- ON BOUNDED APPROXIMATION PROPERTIES OF BANACH SPACES (2010) (0)
- On the distance of subspaces of $l\sp n\sb p$ to $l\sp k\sb p$ (1991) (0)
- An Oration on the First Jubilee of American Independence (0)
- Subspaces of L p that embed into L p ( μ ) with μ finite ∗ (2013) (0)
- Random sign embeddings from $l^n_r,\;2 < r < \infty$ (1988) (0)
- The cluster value problem for Banach (2013) (0)
- Methods in Banach space theory : proceedings of the V Conference on Banach Spaces, Cáceres, Spain, 13-18 September 2004 (2006) (0)
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